diff --git a/README.md b/README.md
index 2460145..c8dc6ee 100644
--- a/README.md
+++ b/README.md
@@ -35,11 +35,18 @@ docker_obsolete_packages:
   - docker.io
   - docker-engine
   - docker-doc
+  - docker-compose
+  - docker-compose-v2
   - podman-docker
   - containerd
   - runc
 ```
 
+`docker_obsolete_packages` for different os-family:
+
+- [`RedHat.yaml`](./vars/RedHat.yml)
+- [`Debian.yaml`](./vars/Debian.yml)
+
 A list of packages to be uninstalled prior to running this role. See [Docker's installation instructions](https://docs.docker.com/engine/install/debian/#uninstall-old-versions) for an up-to-date list of old packages that should be removed.
 
 ```yaml
diff --git a/defaults/main.yml b/defaults/main.yml
index fa13b89..fde06e5 100644
--- a/defaults/main.yml
+++ b/defaults/main.yml
@@ -13,6 +13,8 @@ docker_obsolete_packages:
   - docker.io
   - docker-engine
   - docker-doc
+  - docker-compose
+  - docker-compose-v2
   - podman-docker
   - containerd
   - runc
diff --git a/tasks/setup-RedHat.yml b/tasks/setup-RedHat.yml
index d49316e..8a790f6 100644
--- a/tasks/setup-RedHat.yml
+++ b/tasks/setup-RedHat.yml
@@ -1,10 +1,7 @@
 ---
 - name: Ensure old versions of Docker are not installed.
   package:
-    name:
-      - docker
-      - docker-common
-      - docker-engine
+    name: "{{ docker_obsolete_packages }}"
     state: absent
 
 - name: Add Docker GPG key.
diff --git a/vars/Debian.yml b/vars/Debian.yml
new file mode 100644
index 0000000..9f90a11
--- /dev/null
+++ b/vars/Debian.yml
@@ -0,0 +1,14 @@
+---
+# Used only for Debian/Ubuntu (Debian OS-Family)
+# https://docs.docker.com/engine/install/debian/#uninstall-old-versions
+
+docker_obsolete_packages:
+  - docker
+  - docker.io
+  - docker-engine
+  - docker-doc
+  - docker-compose
+  - docker-compose-v2
+  - podman-docker
+  - containerd
+  - runc
diff --git a/vars/RedHat.yml b/vars/RedHat.yml
new file mode 100644
index 0000000..d8063fb
--- /dev/null
+++ b/vars/RedHat.yml
@@ -0,0 +1,14 @@
+---
+# Used only for Fedora/Rocky (RedHat OS-Family)
+# https://docs.docker.com/engine/install/fedora/#uninstall-old-versions
+# https://docs.docker.com/engine/install/centos/#uninstall-old-versions
+
+docker_obsolete_packages:
+  - docker
+  - docker-client
+  - docker-client-latest
+  - docker-common
+  - docker-latest
+  - docker-latest-logrotate
+  - docker-logrotate
+  - docker-engine