diff --git a/t/t5580-clone-push-unc.sh b/t/t5580-clone-push-unc.sh
index 888ee3a3a1..82fe25a607 100755
--- a/t/t5580-clone-push-unc.sh
+++ b/t/t5580-clone-push-unc.sh
@@ -1,24 +1,21 @@
 #!/bin/sh
 
-test_description='various UNC path tests (Windows-only)'
+test_description='various Windows path tests'
 . ./test-lib.sh
 
 if ! test_have_prereq MINGW; then
-	skip_all='skipping UNC path tests, requires Windows'
+	skip_all='skipping Windows-specific path tests'
 	test_done
 fi
 
 UNCPATH="$(pwd)"
 case "$UNCPATH" in
 [A-Z]:*)
+	WITHOUTDRIVE="${UNCPATH#?:}"
 	# Use administrative share e.g. \\localhost\C$\git-sdk-64\usr\src\git
 	# (we use forward slashes here because MSYS2 and Git accept them, and
 	# they are easier on the eyes)
-	UNCPATH="//localhost/${UNCPATH%%:*}\$/${UNCPATH#?:}"
-	test -d "$UNCPATH" || {
-		skip_all='could not access administrative share; skipping'
-		test_done
-	}
+	UNCPATH="//localhost/${UNCPATH%%:*}\$$WITHOUTDRIVE"
 	;;
 *)
 	skip_all='skipping UNC path tests, cannot determine current path as UNC'
@@ -26,6 +23,18 @@ case "$UNCPATH" in
 	;;
 esac
 
+test_expect_failure 'clone into absolute path lacking a drive prefix' '
+	USINGBACKSLASHES="$(echo "$WITHOUTDRIVE"/without-drive-prefix |
+		tr / \\)" &&
+	git clone . "$USINGBACKSLASHES" &&
+	test -f without-drive-prefix/.git/HEAD
+'
+
+test -d "$UNCPATH" || {
+	skip_all='could not access administrative share; skipping'
+	test_done
+}
+
 test_expect_success setup '
 	test_commit initial
 '