diff --git a/tests/test_tutorial/test_security/test_tutorial005.py b/tests/test_tutorial/test_security/test_tutorial005.py
index ad644d61b..1abfdeb52 100644
--- a/tests/test_tutorial/test_security/test_tutorial005.py
+++ b/tests/test_tutorial/test_security/test_tutorial005.py
@@ -1,4 +1,5 @@
 import importlib
+from functools import lru_cache
 from types import ModuleType
 
 import pytest
@@ -18,6 +19,7 @@ from ...utils import needs_py39, needs_py310
         pytest.param("tutorial005_an_py39", marks=needs_py39),
         pytest.param("tutorial005_an_py310", marks=needs_py310),
     ],
+    scope="module",
 )
 def get_mod(request: pytest.FixtureRequest):
     mod = importlib.import_module(f"docs_src.security.{request.param}")
@@ -25,6 +27,20 @@ def get_mod(request: pytest.FixtureRequest):
     return mod
 
 
+@pytest.fixture(scope="module", autouse=True)
+def cache_verify_password(mod: ModuleType):
+    assert hasattr(mod, "verify_password"), (
+        f"Module {mod.__name__} does not have attribute 'verify_password'"
+    )
+
+    original_func = mod.verify_password
+    cached_func = lru_cache()(original_func)
+
+    mod.verify_password = cached_func
+    yield
+    mod.verify_password = original_func
+
+
 def get_access_token(
     *, username="johndoe", password="secret", scope=None, client: TestClient
 ):
diff --git a/tests/test_tutorial/test_sql_databases/test_tutorial001.py b/tests/test_tutorial/test_sql_databases/test_tutorial001.py
index cc7e590df..6fcf09357 100644
--- a/tests/test_tutorial/test_sql_databases/test_tutorial001.py
+++ b/tests/test_tutorial/test_sql_databases/test_tutorial001.py
@@ -29,6 +29,7 @@ def clear_sqlmodel():
         pytest.param("tutorial001_an_py39", marks=needs_py39),
         pytest.param("tutorial001_an_py310", marks=needs_py310),
     ],
+    scope="module",
 )
 def get_client(request: pytest.FixtureRequest):
     clear_sqlmodel()
@@ -46,6 +47,8 @@ def get_client(request: pytest.FixtureRequest):
     with TestClient(mod.app) as c:
         yield c
 
+    mod.engine.dispose()
+
 
 def test_crud_app(client: TestClient):
     # TODO: this warns that SQLModel.from_orm is deprecated in Pydantic v1, refactor
diff --git a/tests/test_tutorial/test_sql_databases/test_tutorial002.py b/tests/test_tutorial/test_sql_databases/test_tutorial002.py
index 8a98f9a2d..0cf94cce1 100644
--- a/tests/test_tutorial/test_sql_databases/test_tutorial002.py
+++ b/tests/test_tutorial/test_sql_databases/test_tutorial002.py
@@ -29,6 +29,7 @@ def clear_sqlmodel():
         pytest.param("tutorial002_an_py39", marks=needs_py39),
         pytest.param("tutorial002_an_py310", marks=needs_py310),
     ],
+    scope="module",
 )
 def get_client(request: pytest.FixtureRequest):
     clear_sqlmodel()
@@ -46,6 +47,8 @@ def get_client(request: pytest.FixtureRequest):
     with TestClient(mod.app) as c:
         yield c
 
+    mod.engine.dispose()
+
 
 def test_crud_app(client: TestClient):
     # TODO: this warns that SQLModel.from_orm is deprecated in Pydantic v1, refactor