diff --git a/datasette/app.py b/datasette/app.py
index 6b889f08f0..999d6aa60f 100644
--- a/datasette/app.py
+++ b/datasette/app.py
@@ -1568,37 +1568,40 @@ def _fix(self, path, avoid_path_rewrites=False):
             path = f"http://localhost{path}"
         return path
 
+    async def _request(self, method, path, **kwargs):
+        async with httpx.AsyncClient(
+            transport=httpx.ASGITransport(app=self.app),
+            cookies=kwargs.pop("cookies", None),
+        ) as client:
+            return await getattr(client, method)(self._fix(path), **kwargs)
+
     async def get(self, path, **kwargs):
-        async with httpx.AsyncClient(app=self.app) as client:
-            return await client.get(self._fix(path), **kwargs)
+        return await self._request("get", path, **kwargs)
 
     async def options(self, path, **kwargs):
-        async with httpx.AsyncClient(app=self.app) as client:
-            return await client.options(self._fix(path), **kwargs)
+        return await self._request("options", path, **kwargs)
 
     async def head(self, path, **kwargs):
-        async with httpx.AsyncClient(app=self.app) as client:
-            return await client.head(self._fix(path), **kwargs)
+        return await self._request("head", path, **kwargs)
 
     async def post(self, path, **kwargs):
-        async with httpx.AsyncClient(app=self.app) as client:
-            return await client.post(self._fix(path), **kwargs)
+        return await self._request("post", path, **kwargs)
 
     async def put(self, path, **kwargs):
-        async with httpx.AsyncClient(app=self.app) as client:
-            return await client.put(self._fix(path), **kwargs)
+        return await self._request("put", path, **kwargs)
 
     async def patch(self, path, **kwargs):
-        async with httpx.AsyncClient(app=self.app) as client:
-            return await client.patch(self._fix(path), **kwargs)
+        return await self._request("patch", path, **kwargs)
 
     async def delete(self, path, **kwargs):
-        async with httpx.AsyncClient(app=self.app) as client:
-            return await client.delete(self._fix(path), **kwargs)
+        return await self._request("delete", path, **kwargs)
 
     async def request(self, method, path, **kwargs):
         avoid_path_rewrites = kwargs.pop("avoid_path_rewrites", None)
-        async with httpx.AsyncClient(app=self.app) as client:
+        async with httpx.AsyncClient(
+            transport=httpx.ASGITransport(app=self.app),
+            cookies=kwargs.pop("cookies", None),
+        ) as client:
             return await client.request(
                 method, self._fix(path, avoid_path_rewrites), **kwargs
             )