diff --git a/web/web_test.go b/web/web_test.go
index f5711235f..f8bac60e7 100644
--- a/web/web_test.go
+++ b/web/web_test.go
@@ -116,7 +116,9 @@ func TestReadyAndHealthy(t *testing.T) {
 
 	db, err := tsdb.Open(dbDir, nil, nil, nil, nil)
 	require.NoError(t, err)
-
+	t.Cleanup(func() {
+		require.NoError(t, db.Close())
+	})
 	port := fmt.Sprintf(":%d", testutil.RandomUnprivilegedPort(t))
 
 	opts := &Options{
@@ -237,6 +239,9 @@ func TestRoutePrefix(t *testing.T) {
 
 	db, err := tsdb.Open(dbDir, nil, nil, nil, nil)
 	require.NoError(t, err)
+	t.Cleanup(func() {
+		require.NoError(t, db.Close())
+	})
 
 	port := fmt.Sprintf(":%d", testutil.RandomUnprivilegedPort(t))
 
@@ -404,7 +409,9 @@ func TestShutdownWithStaleConnection(t *testing.T) {
 
 	db, err := tsdb.Open(dbDir, nil, nil, nil, nil)
 	require.NoError(t, err)
-
+	t.Cleanup(func() {
+		require.NoError(t, db.Close())
+	})
 	timeout := 10 * time.Second
 
 	port := fmt.Sprintf(":%d", testutil.RandomUnprivilegedPort(t))