diff --git a/tests/draft2019-09/id.json b/tests/draft2019-09/id.json
index 3205c054..050c0c73 100644
--- a/tests/draft2019-09/id.json
+++ b/tests/draft2019-09/id.json
@@ -94,5 +94,45 @@
                 "valid": false
             }
         ]
+    },
+    {
+        "description": "Valid use of empty fragments in location-independent $id",
+        "schema": {
+            "$ref": "https://json-schema.org/draft/2019-09/schema"
+        },
+        "tests": [
+            {
+                "description": "Identifier name with absolute URI",
+                "data": {
+                    "$ref": "http://localhost:1234/bar",
+                    "$defs": {
+                        "A": {
+                            "$id": "http://localhost:1234/bar#",
+                            "type": "integer"
+                        }
+                    }
+                },
+                "valid": true
+            },
+            {
+                "description": "Identifier name with base URI change in subschema",
+                "data": {
+                    "$id": "http://localhost:1234/root",
+                    "$ref": "http://localhost:1234/nested.json#/$defs/B",
+                    "$defs": {
+                        "A": {
+                            "$id": "nested.json",
+                            "$defs": {
+                                "B": {
+                                    "$id": "#",
+                                    "type": "integer"
+                                }
+                            }
+                        }
+                    }
+                },
+                "valid": true
+            }
+        ]
     }
 ]