diff --git a/action.yml b/action.yml
index 83fe5ca..2a0309d 100644
--- a/action.yml
+++ b/action.yml
@@ -26,6 +26,9 @@ inputs:
   destination_ssh_private_key:
     description: SSH key used to authenticate with destination ssh url provided (optional if public or https url with authentication)
     required: false
+  update_head:
+    description: Update HEAD reference
+    required: false
 runs:
   using: 'docker'
   image: 'Dockerfile'
@@ -33,6 +36,7 @@ runs:
     SSH_PRIVATE_KEY: ${{ inputs.ssh_private_key }}
     SOURCE_SSH_PRIVATE_KEY: ${{ inputs.source_ssh_private_key }}
     DESTINATION_SSH_PRIVATE_KEY: ${{ inputs.destination_ssh_private_key }}
+    UPDATE_HEAD: ${{ inputs.update_head }}
   args:
     - ${{ inputs.source_repo }}
     - ${{ inputs.source_branch }}
diff --git a/git-sync.sh b/git-sync.sh
index 05a0e0a..08ca320 100755
--- a/git-sync.sh
+++ b/git-sync.sh
@@ -38,7 +38,11 @@ fi
 git remote add destination "$DESTINATION_REPO"
 
 # Pull all branches references down locally so subsequent commands can see them
-git fetch source '+refs/heads/*:refs/heads/*' --update-head-ok
+if [[ -n "$UPDATE_HEAD" && "$UPDATE_HEAD" = true ]]; then
+  git fetch source '+refs/heads/*:refs/heads/*' --update-head-ok
+else
+  git fetch source '+refs/heads/*:refs/heads/*'
+fi
 
 # Print out all branches
 git --no-pager branch -a -vv