diff --git a/changelogs/fragments/ansible-test-coverage-constraint.yml b/changelogs/fragments/ansible-test-coverage-constraint.yml
new file mode 100644
index 00000000000..b5a03e56789
--- /dev/null
+++ b/changelogs/fragments/ansible-test-coverage-constraint.yml
@@ -0,0 +1,2 @@
+bugfixes:
+    - ansible-test no longer tries to install ``coverage`` 5.0+ since those versions are unsupported
diff --git a/test/lib/ansible_test/_data/requirements/constraints.txt b/test/lib/ansible_test/_data/requirements/constraints.txt
index cfa956c50fb..b3a531fc0ee 100644
--- a/test/lib/ansible_test/_data/requirements/constraints.txt
+++ b/test/lib/ansible_test/_data/requirements/constraints.txt
@@ -1,5 +1,5 @@
-coverage >= 4.2, != 4.3.2 ; python_version <= '3.7' # features in 4.2+ required, avoid known bug in 4.3.2 on python 2.6
-coverage >= 4.5.4 ; python_version > '3.7' # coverage had a bug in < 4.5.4 that would cause unit tests to hang in Python 3.8
+coverage >= 4.2, < 5.0.0, != 4.3.2 ; python_version <= '3.7' # features in 4.2+ required, avoid known bug in 4.3.2 on python 2.6, coverage 5.0+ incompatible
+coverage >= 4.5.4, < 5.0.0 ; python_version > '3.7' # coverage had a bug in < 4.5.4 that would cause unit tests to hang in Python 3.8, coverage 5.0+ incompatible
 cryptography < 2.2 ; python_version < '2.7' # cryptography 2.2 drops support for python 2.6
 deepdiff < 4.0.0 ; python_version < '3' # deepdiff 4.0.0 and later require python 3
 urllib3 < 1.24 ; python_version < '2.7' # urllib3 1.24 and later require python 2.7 or later