diff --git a/tests/integration/targets/odbc/tasks/main.yml b/tests/integration/targets/odbc/tasks/main.yml
index e60198d779..7e2ae852f5 100644
--- a/tests/integration/targets/odbc/tasks/main.yml
+++ b/tests/integration/targets/odbc/tasks/main.yml
@@ -13,7 +13,6 @@
 
 - when:
     - ansible_facts.os_family != 'Archlinux'  # TODO install driver from AUR: https://aur.archlinux.org/packages/psqlodbc
-    - ansible_facts.os_family != 'RedHat' or ansible_facts.distribution_major_version != '7'  # CentOS 7 stopped working
     - ansible_facts.distribution != 'Debian' or ansible_facts.distribution_major_version != '13'  # TODO fix tests for Debian 13 (Trixie)!
   block:
 
diff --git a/tests/integration/targets/pnpm/tasks/main.yml b/tests/integration/targets/pnpm/tasks/main.yml
index 6d8329c259..51387e9a04 100644
--- a/tests/integration/targets/pnpm/tasks/main.yml
+++ b/tests/integration/targets/pnpm/tasks/main.yml
@@ -24,4 +24,4 @@
   with_items:
     - { node_version: 16.20.0, pnpm_version: 8.7.0 }
   when:
-    - not(ansible_facts.distribution == 'Alpine') and not(ansible_facts.distribution == 'CentOS' and ansible_facts.distribution_major_version == '6')
+    - ansible_facts.distribution != 'Alpine'
diff --git a/tests/integration/targets/setup_docker/aliases b/tests/integration/targets/setup_docker/aliases
deleted file mode 100644
index 0a430dff10..0000000000
--- a/tests/integration/targets/setup_docker/aliases
+++ /dev/null
@@ -1,5 +0,0 @@
-# Copyright (c) Ansible Project
-# GNU General Public License v3.0+ (see LICENSES/GPL-3.0-or-later.txt or https://www.gnu.org/licenses/gpl-3.0.txt)
-# SPDX-License-Identifier: GPL-3.0-or-later
-
-needs/target/setup_epel
diff --git a/tests/integration/targets/setup_docker/tasks/main.yml b/tests/integration/targets/setup_docker/tasks/main.yml
index efbf2b5ca8..45b560673e 100644
--- a/tests/integration/targets/setup_docker/tasks/main.yml
+++ b/tests/integration/targets/setup_docker/tasks/main.yml
@@ -12,13 +12,6 @@
   debug:
     msg: "Distribution '{{ ansible_facts.distribution }}', version '{{ ansible_facts.distribution_version }}', OS family '{{ ansible_facts.os_family }}'"
 
-- name: Install EPEL repository (RHEL only)
-  include_role:
-    name: setup_epel
-  when:
-    - ansible_facts.distribution in ['RedHat', 'CentOS']
-    - ansible_facts.distribution_major_version is version('9', '<')
-
 - name: Distribution specific
   block:
     - name: Include distribution specific vars
diff --git a/tests/integration/targets/setup_java_keytool/tasks/main.yml b/tests/integration/targets/setup_java_keytool/tasks/main.yml
index 42f71c2b30..e8e9dd993f 100644
--- a/tests/integration/targets/setup_java_keytool/tasks/main.yml
+++ b/tests/integration/targets/setup_java_keytool/tasks/main.yml
@@ -9,11 +9,8 @@
 # SPDX-License-Identifier: GPL-3.0-or-later
 
 - set_fact:
-    has_java_keytool: >-
-      {{
-        ansible_facts.os_family not in ['Darwin', 'FreeBSD']
-        and not (ansible_facts.distribution == "CentOS" and ansible_facts.distribution_version is version("7.0", "<"))
-      }}
+    has_java_keytool: >
+      {{ ansible_facts.os_family not in ['Darwin', 'FreeBSD'] }}
 
 - name: Include OS-specific variables
   include_vars: '{{ lookup("first_found", params) }}'
diff --git a/tests/integration/targets/setup_openssl/tasks/main.yml b/tests/integration/targets/setup_openssl/tasks/main.yml
index 772b6784a6..b2bd47c6d2 100644
--- a/tests/integration/targets/setup_openssl/tasks/main.yml
+++ b/tests/integration/targets/setup_openssl/tasks/main.yml
@@ -27,20 +27,18 @@
     name: '{{ openssl_package_name }}'
   when: not ansible_facts.os_family == 'Darwin'
 
-- when: ansible_facts.distribution ~ ansible_facts.distribution_major_version not in  ['CentOS6', 'RedHat6']
-  block:
-    - name: Install cryptography
-      become: true
-      package:
-        name: '{{ cryptography_package_name_python3 }}'
-      when: not cryptography_from_pip
+- name: Install cryptography
+  become: true
+  package:
+    name: '{{ cryptography_package_name_python3 }}'
+  when: not cryptography_from_pip
 
-    - name: Install cryptography (pip)
-      become: true
-      pip:
-        name: cryptography>=3.3
-        extra_args: "-c {{ remote_constraints }}"
-      when: cryptography_from_pip
+- name: Install cryptography (pip)
+  become: true
+  pip:
+    name: cryptography>=3.3
+    extra_args: "-c {{ remote_constraints }}"
+  when: cryptography_from_pip
 
 - name: Install pyOpenSSL
   become: true
diff --git a/tests/integration/targets/setup_pkg_mgr/tasks/main.yml b/tests/integration/targets/setup_pkg_mgr/tasks/main.yml
index cb65164097..9f76d42a26 100644
--- a/tests/integration/targets/setup_pkg_mgr/tasks/main.yml
+++ b/tests/integration/targets/setup_pkg_mgr/tasks/main.yml
@@ -26,19 +26,6 @@
     cacheable: true
   when: ansible_facts.os_family == "Archlinux"
 
-- shell:
-    cmd: |
-      sed -i 's/mirrorlist/#mirrorlist/g' /etc/yum.repos.d/*.repo
-      sed -i 's%#baseurl=http://mirror.centos.org/%baseurl=https://vault.centos.org/%g' /etc/yum.repos.d/*.repo
-  when: ansible_facts.distribution in 'CentOS' and ansible_facts.distribution_major_version == '7'
-
-- shell:
-    cmd: |
-      sed -i 's/mirrorlist/#mirrorlist/g' /etc/yum.repos.d/CentOS-Linux-*.repo
-      sed -i 's%#baseurl=http://mirror.centos.org/$contentdir/$releasever/%baseurl=https://vault.centos.org/8.4.2105/%g' /etc/yum.repos.d/CentOS-Linux-*.repo
-  ignore_errors: true  # This fails for CentOS Stream 8
-  when: ansible_facts.distribution in 'CentOS' and ansible_facts.distribution_major_version == '8'
-
 - when: ansible_facts.os_family == "Archlinux"
   block:
     - name: ArchLinux specific setup
diff --git a/tests/integration/targets/setup_snap/aliases b/tests/integration/targets/setup_snap/aliases
deleted file mode 100644
index 0a430dff10..0000000000
--- a/tests/integration/targets/setup_snap/aliases
+++ /dev/null
@@ -1,5 +0,0 @@
-# Copyright (c) Ansible Project
-# GNU General Public License v3.0+ (see LICENSES/GPL-3.0-or-later.txt or https://www.gnu.org/licenses/gpl-3.0.txt)
-# SPDX-License-Identifier: GPL-3.0-or-later
-
-needs/target/setup_epel
diff --git a/tests/integration/targets/setup_snap/tasks/main.yml b/tests/integration/targets/setup_snap/tasks/main.yml
index 8014e932b0..7aeb34cb05 100644
--- a/tests/integration/targets/setup_snap/tasks/main.yml
+++ b/tests/integration/targets/setup_snap/tasks/main.yml
@@ -12,13 +12,6 @@
   debug:
     msg: "Distribution '{{ ansible_facts.distribution }}', version '{{ ansible_facts.distribution_version }}', OS family '{{ ansible_facts.os_family }}'"
 
-- name: Install EPEL repository (RHEL only)
-  include_role:
-    name: setup_epel
-  when:
-    - ansible_facts.distribution in ['RedHat', 'CentOS']
-    - ansible_facts.distribution_major_version is version('9', '<')
-
 - name: Include distribution specific tasks
   include_tasks: "{{ lookup('first_found', params) }}"
   vars:
diff --git a/tests/integration/targets/setup_wildfly_server/tasks/main.yml b/tests/integration/targets/setup_wildfly_server/tasks/main.yml
index 17ea06ca7c..f8a0b50714 100644
--- a/tests/integration/targets/setup_wildfly_server/tasks/main.yml
+++ b/tests/integration/targets/setup_wildfly_server/tasks/main.yml
@@ -10,8 +10,7 @@
 
 - name: Skip unsupported platforms
   meta: end_play
-  when: (ansible_facts.distribution != 'CentOS') or
-        (ansible_facts.distribution == 'CentOS' and ansible_facts.distribution_major_version is not version('7', '>='))
+  # Not being effectively tested and bound to be removed in 14.0.0 with jboss module deprecation
 
 - name: Install java
   package:
diff --git a/tests/integration/targets/supervisorctl/tasks/main.yml b/tests/integration/targets/supervisorctl/tasks/main.yml
index 4cf3625759..a84475306d 100644
--- a/tests/integration/targets/supervisorctl/tasks/main.yml
+++ b/tests/integration/targets/supervisorctl/tasks/main.yml
@@ -8,52 +8,46 @@
 # GNU General Public License v3.0+ (see LICENSES/GPL-3.0-or-later.txt or https://www.gnu.org/licenses/gpl-3.0.txt)
 # SPDX-License-Identifier: GPL-3.0-or-later
 
-- when:
-    # setuptools is too old on RHEL/CentOS 6 (https://github.com/Supervisor/meld3/issues/23)
-    - ansible_facts.os_family != 'RedHat' or ansible_facts.distribution_major_version|int > 6
-    # For some reason CentOS 7 and OpenSuSE 15 do not work on ansible-core 2.16
-    - ansible_version.minor != 16 or ansible_facts.distribution not in ['CentOS', 'openSUSE Leap']
-  block:
-    - block:
-        - tempfile:
-            state: directory
-            suffix: supervisorctl-tests
-          register: supervisord_sock_path
+- block:
+    - tempfile:
+        state: directory
+        suffix: supervisorctl-tests
+      register: supervisord_sock_path
 
-        - command: 'echo {{ remote_tmp_dir }}'
-          register: echo
-        - set_fact:
-            remote_dir: '{{ echo.stdout }}'
+    - command: 'echo {{ remote_tmp_dir }}'
+      register: echo
+    - set_fact:
+        remote_dir: '{{ echo.stdout }}'
 
-        - include_vars: '{{ item }}'
-          with_first_found:
-            - files:
-                - '{{ ansible_facts.distribution }}.yml'
-                - '{{ ansible_facts.os_family }}.yml'
-                - 'defaults.yml'
+    - include_vars: '{{ item }}'
+      with_first_found:
+        - files:
+            - '{{ ansible_facts.distribution }}.yml'
+            - '{{ ansible_facts.os_family }}.yml'
+            - 'defaults.yml'
 
-        - include_tasks: '{{ item }}'
-          with_first_found:
-            - files:
-                - 'install_{{ ansible_facts.distribution }}.yml' # CentOS
-                - 'install_{{ ansible_facts.os_family }}.yml'    # RedHat
-                - 'install_{{ ansible_facts.system }}.yml'       # Linux
+    - include_tasks: '{{ item }}'
+      with_first_found:
+        - files:
+            - 'install_{{ ansible_facts.distribution }}.yml' # CentOS
+            - 'install_{{ ansible_facts.os_family }}.yml'    # RedHat
+            - 'install_{{ ansible_facts.system }}.yml'       # Linux
 
-        - include_tasks: test.yml
-          with_items:
-            - { username: '', password: '' }
-            - { username: 'testétest', password: 'passéword' } # non-ASCII credentials
-          loop_control:
-            loop_var: credentials
+    - include_tasks: test.yml
+      with_items:
+        - { username: '', password: '' }
+        - { username: 'testétest', password: 'passéword' } # non-ASCII credentials
+      loop_control:
+        loop_var: credentials
 
-      always:
-        - include_tasks: '{{ item }}'
-          with_first_found:
-            - files:
-                - 'uninstall_{{ ansible_facts.distribution }}.yml' # CentOS
-                - 'uninstall_{{ ansible_facts.os_family }}.yml'    # RedHat
-                - 'uninstall_{{ ansible_facts.system }}.yml'       # Linux
+  always:
+    - include_tasks: '{{ item }}'
+      with_first_found:
+        - files:
+            - 'uninstall_{{ ansible_facts.distribution }}.yml' # CentOS
+            - 'uninstall_{{ ansible_facts.os_family }}.yml'    # RedHat
+            - 'uninstall_{{ ansible_facts.system }}.yml'       # Linux
 
-        - file:
-            path: '{{ supervisord_sock_path.path }}'
-            state: absent
+    - file:
+        path: '{{ supervisord_sock_path.path }}'
+        state: absent
diff --git a/tests/integration/targets/timezone/tasks/main.yml b/tests/integration/targets/timezone/tasks/main.yml
index 3766d82f85..3805a40c41 100644
--- a/tests/integration/targets/timezone/tasks/main.yml
+++ b/tests/integration/targets/timezone/tasks/main.yml
@@ -8,14 +8,6 @@
 # GNU General Public License v3.0+ (see LICENSES/GPL-3.0-or-later.txt or https://www.gnu.org/licenses/gpl-3.0.txt)
 # SPDX-License-Identifier: GPL-3.0-or-later
 
-# Because hwclock usually isn't available inside Docker containers in Shippable
-# these tasks will detect if hwclock works and only run hwclock tests if it is
-# supported. That is why it is recommended to run these tests locally with
-# `--docker-privileged` on centos6, centos7 and ubuntu1404 images. Example
-# command to run on centos6:
-#
-#   ansible-test integration --docker centos6 --docker-privileged -v timezone
-
 ##
 ## set path to timezone config files
 ##
diff --git a/tests/integration/targets/ufw/aliases b/tests/integration/targets/ufw/aliases
index 5e3d0dea32..096230dcc4 100644
--- a/tests/integration/targets/ufw/aliases
+++ b/tests/integration/targets/ufw/aliases
@@ -6,11 +6,7 @@ azp/posix/2
 azp/posix/vm
 skip/macos
 skip/freebsd
-skip/rhel9.3  # FIXME
-skip/rhel9.7  # FIXME
-skip/rhel10.0  # FIXME
-skip/rhel10.1  # FIXME
+skip/rhel
 skip/docker
 needs/root
-needs/target/setup_epel
 destructive
diff --git a/tests/integration/targets/ufw/tasks/main.yml b/tests/integration/targets/ufw/tasks/main.yml
index 23e5110bc1..9f6bff47a3 100644
--- a/tests/integration/targets/ufw/tasks/main.yml
+++ b/tests/integration/targets/ufw/tasks/main.yml
@@ -8,13 +8,6 @@
 # GNU General Public License v3.0+ (see LICENSES/GPL-3.0-or-later.txt or https://www.gnu.org/licenses/gpl-3.0.txt)
 # SPDX-License-Identifier: GPL-3.0-or-later
 
-# Make sure ufw is installed
-- name: Install EPEL repository (RHEL only)
-  include_role:
-    name: setup_epel
-  when:
-    - ansible_facts.distribution in ['RedHat', 'CentOS']
-    - ansible_facts.distribution_major_version is version('9', '<')
 - name: Install iptables (SuSE only)
   package:
     name: iptables
diff --git a/tests/integration/targets/yum_versionlock/tasks/main.yml b/tests/integration/targets/yum_versionlock/tasks/main.yml
index 6c89081853..bd1235ae22 100644
--- a/tests/integration/targets/yum_versionlock/tasks/main.yml
+++ b/tests/integration/targets/yum_versionlock/tasks/main.yml
@@ -83,5 +83,4 @@
         name: yum-plugin-versionlock
         state: absent
       when: yum_versionlock_install is changed
-  when: (ansible_facts.distribution in ['CentOS', 'RedHat'] and ansible_facts.distribution_major_version is version('7', '>=')) or
-        (ansible_facts.distribution == 'Fedora')
+  when: ansible_facts.distribution in ['CentOS', 'RedHat', 'Fedora']