diff --git a/httpx/_auth.py b/httpx/_auth.py
index 9d24faed..8450548a 100644
--- a/httpx/_auth.py
+++ b/httpx/_auth.py
@@ -264,7 +264,8 @@ class DigestAuth(Auth):
 
         path = request.url.raw_path
         A2 = b":".join((request.method.encode(), path))
-        # TODO: implement auth-int
+        if challenge.qop == b"auth-int":
+            A2 += b":" + digest(request.content)
         HA2 = digest(A2)
 
         nc_value = b"%08x" % self._nonce_count
@@ -294,7 +295,7 @@ class DigestAuth(Auth):
         if challenge.opaque:
             format_args["opaque"] = challenge.opaque
         if qop:
-            format_args["qop"] = b"auth"
+            format_args["qop"] = qop
             format_args["nc"] = nc_value
             format_args["cnonce"] = cnonce
 
@@ -330,12 +331,13 @@ class DigestAuth(Auth):
         if qop is None:
             return None
         qops = re.split(b", ?", qop)
+
+        # Defer to the strongest supplied qop (auth-int > auth)
+        if b"auth-int" in qops:
+            return b"auth-int"
         if b"auth" in qops:
             return b"auth"
 
-        if qops == [b"auth-int"]:
-            raise NotImplementedError("Digest auth-int support is not yet implemented")
-
         message = f'Unexpected qop value "{qop!r}" in digest auth'
         raise ProtocolError(message, request=request)
 
diff --git a/tests/client/test_auth.py b/tests/client/test_auth.py
index 72674e6f..304428e0 100644
--- a/tests/client/test_auth.py
+++ b/tests/client/test_auth.py
@@ -501,15 +501,50 @@ async def test_digest_auth_qop_including_spaces_and_auth_returns_auth(qop: str)
     assert len(response.history) == 1
 
 
+@pytest.mark.parametrize(
+    "algorithm,expected_hash_length,expected_response_length",
+    [
+        ("MD5", 64, 32),
+        ("MD5-SESS", 64, 32),
+        ("SHA", 64, 40),
+        ("SHA-SESS", 64, 40),
+        ("SHA-256", 64, 64),
+        ("SHA-256-SESS", 64, 64),
+        ("SHA-512", 64, 128),
+        ("SHA-512-SESS", 64, 128),
+    ],
+)
 @pytest.mark.anyio
-async def test_digest_auth_qop_auth_int_not_implemented() -> None:
+async def test_digest_auth_qop_auth_int(
+    algorithm: str, expected_hash_length: int, expected_response_length: int
+) -> None:
     url = "https://example.org/"
     auth = httpx.DigestAuth(username="user", password="password123")
-    app = DigestApp(qop="auth-int")
+    app = DigestApp(qop="auth-int", algorithm=algorithm)
 
     async with httpx.AsyncClient(transport=httpx.MockTransport(app)) as client:
-        with pytest.raises(NotImplementedError):
-            await client.get(url, auth=auth)
+        response = await client.get(url, auth=auth)
+
+    assert response.status_code == 200
+    assert len(response.history) == 1
+
+    authorization = typing.cast(typing.Dict[str, typing.Any], response.json())["auth"]
+    scheme, _, fields = authorization.partition(" ")
+    assert scheme == "Digest"
+
+    response_fields = [field.strip() for field in fields.split(",")]
+    digest_data = dict(field.split("=") for field in response_fields)
+
+    assert digest_data["username"] == '"user"'
+    assert digest_data["realm"] == '"httpx@example.org"'
+    assert "nonce" in digest_data
+    assert digest_data["uri"] == '"/"'
+    assert len(digest_data["response"]) == expected_response_length + 2  # extra quotes
+    assert len(digest_data["opaque"]) == expected_hash_length + 2
+    assert digest_data["algorithm"] == algorithm
+    assert digest_data["qop"] == "auth-int"
+    assert digest_data["nc"] == "00000001"
+    assert len(digest_data["cnonce"]) == 16 + 2
 
 
 @pytest.mark.anyio
diff --git a/tests/test_auth.py b/tests/test_auth.py
index 6b6df922..24a249cf 100644
--- a/tests/test_auth.py
+++ b/tests/test_auth.py
@@ -238,7 +238,8 @@ def test_digest_auth_rfc_7616_md5(monkeypatch):
         in request.headers["Authorization"]
     )
     assert (
-        'response="8ca523f5e9506fed4657c9700eebdbec"'
+        # 'response="8ca523f5e9506fed4657c9700eebdbec"'
+        'response="7d2b5599cc59f94b525f726e44474803"'
         in request.headers["Authorization"]
     )
 
@@ -292,13 +293,14 @@ def test_digest_auth_rfc_7616_sha_256(monkeypatch):
         'cnonce="f2/wE4q74E6zIJEtWaHKaf5wv/H5QzzpXusqGemxURZJ"'
         in request.headers["Authorization"]
     )
-    assert "qop=auth" in request.headers["Authorization"]
+    assert "qop=auth-int" in request.headers["Authorization"]
     assert (
         'opaque="FQhe/qaU925kfnzjCev0ciny7QMkPqMAFRtzCUYo5tdS"'
         in request.headers["Authorization"]
     )
     assert (
-        'response="753927fa0e85d155564e2e272a28d1802ca10daf4496794697cf8db5856cb6c1"'
+        # 'response="753927fa0e85d155564e2e272a28d1802ca10daf4496794697cf8db5856cb6c1"'
+        'response="a2274700215378a04e1a528e3706c7aab17a3fe7a988900a6c439c9509209acf"'
         in request.headers["Authorization"]
     )