diff --git a/lib/ansible/modules/packaging/os/dnf.py b/lib/ansible/modules/packaging/os/dnf.py
index 02dc9edb66..d8c2e14787 100644
--- a/lib/ansible/modules/packaging/os/dnf.py
+++ b/lib/ansible/modules/packaging/os/dnf.py
@@ -464,10 +464,10 @@ class DnfModule(YumDnf):
 
     def _ensure_dnf(self):
         if not HAS_DNF:
-            if not PY2:
-                package = 'python3-dnf'
-            else:
+            if PY2:
                 package = 'python2-dnf'
+            else:
+                package = 'python3-dnf'
 
             if self.module.check_mode:
                 self.module.fail_json(
diff --git a/test/integration/targets/dnf/tasks/main.yml b/test/integration/targets/dnf/tasks/main.yml
index 92e35611eb..aba860fe5a 100644
--- a/test/integration/targets/dnf/tasks/main.yml
+++ b/test/integration/targets/dnf/tasks/main.yml
@@ -43,7 +43,3 @@
   when:
     - ansible_distribution == 'Fedora' and ansible_distribution_major_version|int >= 29
     - ansible_distribution == 'RedHat' and ansible_distribution_major_version|int >= 8
-
-- include: 'python3and2.yml'
-  when:
-    - ansible_pkg_mgr == 'dnf'
diff --git a/test/integration/targets/dnf/tasks/python3and2.yml b/test/integration/targets/dnf/tasks/python3and2.yml
deleted file mode 100644
index dd59b90f2b..0000000000
--- a/test/integration/targets/dnf/tasks/python3and2.yml
+++ /dev/null
@@ -1,44 +0,0 @@
-# INSTALLPYTHON3AND2
-#  The module `dnf` installs python3-dnf on python3 systems and python2-dnf
-#  on python2 systems. Fedora 30 and newer have python3 and limited
-#  support for python2, for example python2-dnf is missing.
-#  This test proves that python3 and python2 can be installed and the module
-#  `dnf` works.
-
-- name: install python2
-  dnf:
-    name: python2
-    state: present
-
-- name: use python2
-  set_fact:
-    ansible_python_interpreter: /usr/bin/python
-
-- name: install a sample package
-  dnf:
-    name: screen
-    state: present
-
-- name: clean up sample package
-  dnf:
-    name: screen
-    state: absent
-
-- name: install python3
-  dnf:
-    name: python3
-    state: present
-
-- name: use python3
-  set_fact:
-    ansible_python_interpreter: /usr/bin/python3
-
-- name: install a sample package
-  dnf:
-    name: screen
-    state: present
-
-- name: clean up sample package
-  dnf:
-    name: screen
-    state: absent