diff --git a/tests/test_tutorial/test_header_param_models/test_tutorial001.py b/tests/test_tutorial/test_header_param_models/test_tutorial001.py
index 8391bd1197..cc274cd64d 100644
--- a/tests/test_tutorial/test_header_param_models/test_tutorial001.py
+++ b/tests/test_tutorial/test_header_param_models/test_tutorial001.py
@@ -1,6 +1,7 @@
 import importlib
 
 import pytest
+from dirty_equals import IsOneOf
 from fastapi.testclient import TestClient
 from inline_snapshot import snapshot
 
@@ -68,7 +69,9 @@ def test_header_param_model_invalid(client: TestClient):
                         "x_tag": [],
                         "host": "testserver",
                         "accept": "*/*",
-                        "accept-encoding": "gzip, deflate",
+                        "accept-encoding": IsOneOf(
+                            "gzip, deflate", "gzip, deflate, zstd"
+                        ),
                         "connection": "keep-alive",
                         "user-agent": "testclient",
                     },
diff --git a/tests/test_tutorial/test_header_param_models/test_tutorial003.py b/tests/test_tutorial/test_header_param_models/test_tutorial003.py
index 7d0da24fd5..de2fb87ec6 100644
--- a/tests/test_tutorial/test_header_param_models/test_tutorial003.py
+++ b/tests/test_tutorial/test_header_param_models/test_tutorial003.py
@@ -1,6 +1,7 @@
 import importlib
 
 import pytest
+from dirty_equals import IsOneOf
 from fastapi.testclient import TestClient
 from inline_snapshot import snapshot
 
@@ -66,7 +67,9 @@ def test_header_param_model_no_underscore(client: TestClient):
                         "traceparent": "123",
                         "x_tag": [],
                         "accept": "*/*",
-                        "accept-encoding": "gzip, deflate",
+                        "accept-encoding": IsOneOf(
+                            "gzip, deflate", "gzip, deflate, zstd"
+                        ),
                         "connection": "keep-alive",
                         "user-agent": "testclient",
                         "save-data": "true",
@@ -105,7 +108,9 @@ def test_header_param_model_invalid(client: TestClient):
                         "x_tag": [],
                         "host": "testserver",
                         "accept": "*/*",
-                        "accept-encoding": "gzip, deflate",
+                        "accept-encoding": IsOneOf(
+                            "gzip, deflate", "gzip, deflate, zstd"
+                        ),
                         "connection": "keep-alive",
                         "user-agent": "testclient",
                     },