diff --git a/testsuite/tests/polykinds/T5937.hs b/testsuite/tests/polykinds/T5937.hs
new file mode 100644
index 0000000000000000000000000000000000000000..20bc59e6f1f772d9972cadbf3e3d50771092d4dd
--- /dev/null
+++ b/testsuite/tests/polykinds/T5937.hs
@@ -0,0 +1,6 @@
+{-# LANGUAGE PolyKinds, KindSignatures, DataKinds, GADTs #-}
+module T5937 where
+
+data SMaybe :: (k -> *) -> Maybe k -> * where
+   SNothing :: SMaybe s 'Nothing
+   SJust :: s a -> SMaybe s ('Just a)
diff --git a/testsuite/tests/polykinds/all.T b/testsuite/tests/polykinds/all.T
index 5767f8c9aa739ae1c9e4688316e549801882e840..d415a76dc8254b56bf6c601bd55a0cf7f8f0289f 100644
--- a/testsuite/tests/polykinds/all.T
+++ b/testsuite/tests/polykinds/all.T
@@ -29,4 +29,5 @@ test('T5862', normal, compile, [''])
 test('T5912', normal, compile, [''])
 test('T5881', normal, run_command, ['$MAKE -s --no-print-directory T5881'])
 test('T5716', normal, compile_fail, [''])
+test('T5937', normal, compile, [''])