diff --git a/airflow-core/src/airflow/api_fastapi/core_api/routes/ui/structure.py b/airflow-core/src/airflow/api_fastapi/core_api/routes/ui/structure.py
index 25c8134203b4d..a84f36ab010d3 100644
--- a/airflow-core/src/airflow/api_fastapi/core_api/routes/ui/structure.py
+++ b/airflow-core/src/airflow/api_fastapi/core_api/routes/ui/structure.py
@@ -138,9 +138,9 @@ def structure_data(
                 asset_expression, entry_node_ref["id"]
             )
             data["nodes"] += upstream_asset_nodes
-            data["edges"] = upstream_asset_edges
+            data["edges"] += upstream_asset_edges
 
-        data["edges"] += start_edges + edges + end_edges
+        data["edges"] += start_edges + end_edges
 
     bind_output_assets_to_tasks(data["edges"], serialized_dag)
 
diff --git a/airflow-core/tests/unit/api_fastapi/core_api/routes/ui/test_structure.py b/airflow-core/tests/unit/api_fastapi/core_api/routes/ui/test_structure.py
index 035721a1dcbe4..2c6425db1b395 100644
--- a/airflow-core/tests/unit/api_fastapi/core_api/routes/ui/test_structure.py
+++ b/airflow-core/tests/unit/api_fastapi/core_api/routes/ui/test_structure.py
@@ -310,6 +310,20 @@ def test_should_return_200_with_asset(self, test_client, asset1_id, asset2_id, a
         }
         expected = {
             "edges": [
+                {
+                    "is_setup_teardown": None,
+                    "label": None,
+                    "source_id": "external_task_sensor",
+                    "target_id": "task_2",
+                    "is_source_asset": None,
+                },
+                {
+                    "is_setup_teardown": None,
+                    "label": None,
+                    "source_id": "task_1",
+                    "target_id": "external_task_sensor",
+                    "is_source_asset": None,
+                },
                 {
                     "is_setup_teardown": None,
                     "label": None,
@@ -352,20 +366,6 @@ def test_should_return_200_with_asset(self, test_client, asset1_id, asset2_id, a
                     "target_id": "task_1",
                     "is_source_asset": None,
                 },
-                {
-                    "is_setup_teardown": None,
-                    "label": None,
-                    "source_id": "external_task_sensor",
-                    "target_id": "task_2",
-                    "is_source_asset": None,
-                },
-                {
-                    "is_setup_teardown": None,
-                    "label": None,
-                    "source_id": "task_1",
-                    "target_id": "external_task_sensor",
-                    "is_source_asset": None,
-                },
                 {
                     "is_setup_teardown": None,
                     "label": None,