diff --git a/sanic/__version__.py b/sanic/__version__.py
index 79344950..74a495e2 100644
--- a/sanic/__version__.py
+++ b/sanic/__version__.py
@@ -1 +1 @@
-__version__ = "21.6.1"
+__version__ = "21.6.2"
diff --git a/sanic/asgi.py b/sanic/asgi.py
index 5765a5cd..330ced5a 100644
--- a/sanic/asgi.py
+++ b/sanic/asgi.py
@@ -207,4 +207,7 @@ class ASGIApp:
         """
         Handle the incoming request.
         """
-        await self.sanic_app.handle_request(self.request)
+        try:
+            await self.sanic_app.handle_request(self.request)
+        except Exception as e:
+            await self.sanic_app.handle_exception(self.request, e)
diff --git a/tests/test_asgi.py b/tests/test_asgi.py
index 5be3fd26..c707c12a 100644
--- a/tests/test_asgi.py
+++ b/tests/test_asgi.py
@@ -7,7 +7,7 @@ import uvicorn
 
 from sanic import Sanic
 from sanic.asgi import MockTransport
-from sanic.exceptions import InvalidUsage
+from sanic.exceptions import Forbidden, InvalidUsage, ServiceUnavailable
 from sanic.request import Request
 from sanic.response import json, text
 from sanic.websocket import WebSocketConnection
@@ -346,3 +346,32 @@ async def test_content_type(app):
 
     _, response = await app.asgi_client.get("/custom")
     assert response.headers.get("content-type") == "somethingelse"
+
+
+@pytest.mark.asyncio
+async def test_request_handle_exception(app):
+    @app.get("/error-prone")
+    def _request(request):
+        raise ServiceUnavailable(message="Service unavailable")
+
+    _, response = await app.asgi_client.get("/wrong-path")
+    assert response.status_code == 404
+
+    _, response = await app.asgi_client.get("/error-prone")
+    assert response.status_code == 503
+
+@pytest.mark.asyncio
+async def test_request_exception_suppressed_by_middleware(app):
+    @app.get("/error-prone")
+    def _request(request):
+        raise ServiceUnavailable(message="Service unavailable")
+
+    @app.on_request
+    def forbidden(request):
+        raise Forbidden(message="forbidden")
+
+    _, response = await app.asgi_client.get("/wrong-path")
+    assert response.status_code == 403
+
+    _, response = await app.asgi_client.get("/error-prone")
+    assert response.status_code == 403
\ No newline at end of file