diff --git a/test/integration/roles/test_git/tasks/main.yml b/test/integration/roles/test_git/tasks/main.yml
index 792dd0dc3bb..18eaeffdfec 100644
--- a/test/integration/roles/test_git/tasks/main.yml
+++ b/test/integration/roles/test_git/tasks/main.yml
@@ -559,6 +559,55 @@
       - "'newtag' in listoftags.stdout_lines"
 
 
+- name: clear checkout_dir
+  file: state=absent path={{ checkout_dir }}
+
+
+  # Test for https://github.com/ansible/ansible-modules-core/issues/3456
+  # clone a repo with depth and version specified
+
+- name: clone repo with both version and depth specified
+  git:
+    repo: '{{ repo_depth_url }}'
+    dest: '{{ checkout_dir }}'
+    depth: 1
+    version: master
+
+- name: run a second time (now fetch, not clone)
+  git:
+    repo: '{{ repo_depth_url }}'
+    dest: '{{ checkout_dir }}'
+    depth: 1
+    version: master
+  register: git_fetch
+
+- name: ensure the fetch succeeded
+  assert:
+    that: git_fetch|success
+
+
+- name: clear checkout_dir
+  file: state=absent path={{ checkout_dir }}
+
+- name: clone repo with both version and depth specified
+  git:
+    repo: '{{ repo_depth_url }}'
+    dest: '{{ checkout_dir }}'
+    depth: 1
+    version: master
+
+- name: switch to older branch with depth=1 (uses fetch)
+  git:
+    repo: '{{ repo_depth_url }}'
+    dest: '{{ checkout_dir }}'
+    depth: 1
+    version: earlybranch
+  register: git_fetch
+
+- name: ensure the fetch succeeded
+  assert:
+    that: git_fetch|success
+
 - name: clear checkout_dir
   file: state=absent path={{ checkout_dir }}