diff --git a/t/lib-submodule-update.sh b/t/lib-submodule-update.sh
index 61c54f2098..7c8c557572 100755
--- a/t/lib-submodule-update.sh
+++ b/t/lib-submodule-update.sh

@@ -4,6 +4,7 @@
 # - New submodule (no_submodule => add_sub1)
 # - Removed submodule (add_sub1 => remove_sub1)
 # - Updated submodule (add_sub1 => modify_sub1)
+# - Updated submodule recursively (modify_sub1 => modify_sub1_recursively)
 # - Submodule updated to invalid commit (add_sub1 => invalid_sub1)
 # - Submodule updated from invalid commit (invalid_sub1 => valid_sub1)
 # - Submodule replaced by tracked files in directory (add_sub1 =>

@@ -19,8 +20,8 @@
 #                    /    ^
 #                   /     remove_sub1
 #                  /
-#       add_sub1  /-------O
-#             |  /        ^
+#       add_sub1  /-------O---------O
+#             |  /        ^         modify_sub1_recursive
 #             | /         modify_sub1
 #             v/
 #      O------O-----------O---------O

@@ -73,6 +74,14 @@ create_lib_submodule_repo () {
 		git add sub1 &&
 		git commit -m "Modify sub1" &&
 
+		git checkout -b modify_sub1_recursively modify_sub1 &&
+		git -C sub1 checkout -b "add_nested_sub" &&
+		git -C sub1 submodule add --branch no_submodule ./. sub2 &&