diff --git a/instrumentation/opentelemetry-instrumentation-asgi/src/opentelemetry/instrumentation/asgi/__init__.py b/instrumentation/opentelemetry-instrumentation-asgi/src/opentelemetry/instrumentation/asgi/__init__.py
index 9659e61038..df16268f51 100644
--- a/instrumentation/opentelemetry-instrumentation-asgi/src/opentelemetry/instrumentation/asgi/__init__.py
+++ b/instrumentation/opentelemetry-instrumentation-asgi/src/opentelemetry/instrumentation/asgi/__init__.py
@@ -338,6 +338,8 @@ async def __call__(self, scope, receive, send):
                 if callable(self.server_request_hook):
                     self.server_request_hook(span, scope)
 
+                server_span_context = trace.context_api.get_current()
+
                 @wraps(receive)
                 async def wrapped_receive():
                     with self.tracer.start_as_current_span(
@@ -371,7 +373,11 @@ async def wrapped_send(message):
 
                         propagator = get_global_response_propagator()
                         if propagator:
-                            propagator.inject(message, setter=asgi_setter)
+                            propagator.inject(
+                                message,
+                                context=server_span_context,
+                                setter=asgi_setter,
+                            )
 
                         await send(message)
 
diff --git a/instrumentation/opentelemetry-instrumentation-asgi/tests/test_asgi_middleware.py b/instrumentation/opentelemetry-instrumentation-asgi/tests/test_asgi_middleware.py
index e7eb418632..aa33c34894 100644
--- a/instrumentation/opentelemetry-instrumentation-asgi/tests/test_asgi_middleware.py
+++ b/instrumentation/opentelemetry-instrumentation-asgi/tests/test_asgi_middleware.py
@@ -303,15 +303,8 @@ def test_traceresponse_header(self):
         self.seed_app(app)
         self.send_default_request()
 
-        # traceresponse header corresponds to http.response.start span
-        span = self.memory_exporter.get_finished_spans()[1]
-        self.assertDictEqual(
-            dict(span.attributes),
-            {
-                SpanAttributes.HTTP_STATUS_CODE: 200,
-                "type": "http.response.start",
-            },
-        )
+        span = self.memory_exporter.get_finished_spans()[-1]
+        self.assertEqual(trace_api.SpanKind.SERVER, span.kind)
 
         response_start, response_body, *_ = self.get_all_output()
         self.assertEqual(response_body["body"], b"*")
@@ -427,12 +420,8 @@ def test_websocket_traceresponse_header(self):
         self.send_input({"type": "websocket.disconnect"})
         _, socket_send, *_ = self.get_all_output()
 
-        # traceresponse header corresponds to the 2nd websocket.send span
-        span = self.memory_exporter.get_finished_spans()[3]
-        self.assertDictEqual(
-            dict(span.attributes),
-            {SpanAttributes.HTTP_STATUS_CODE: 200, "type": "websocket.send"},
-        )
+        span = self.memory_exporter.get_finished_spans()[-1]
+        self.assertEqual(trace_api.SpanKind.SERVER, span.kind)
 
         traceresponse = "00-{0}-{1}-01".format(
             format_trace_id(span.get_span_context().trace_id),