diff --git a/requirements-test.txt b/requirements-test.txt
--- a/requirements-test.txt
+++ b/requirements-test.txt
@@ -1,6 +1,6 @@
 pytest
 pytest-mock
 requests-mock
-hypothesis >= 3.11.0, < 6
+hypothesis >= 3.11.0
 pre-commit
 pytz
diff --git a/swh/core/db/tests/test_db.py b/swh/core/db/tests/test_db.py
--- a/swh/core/db/tests/test_db.py
+++ b/swh/core/db/tests/test_db.py
@@ -12,7 +12,9 @@
 from unittest.mock import MagicMock, Mock
 import uuid
 
-from hypothesis import given, strategies
+from hypothesis import HealthCheck
+from hypothesis import __version_info__ as hypothesis_version
+from hypothesis import given, settings, strategies
 from hypothesis.extra.pytz import timezones
 import psycopg2
 import pytest
@@ -282,6 +284,11 @@
         assert EXPECTED_ROW_OUT == output[0]
 
 
+@settings(
+    suppress_health_check=[HealthCheck.function_scoped_fixture]  # type: ignore
+    if hypothesis_version >= (5, 49)
+    else []
+)
 @given(db_rows)
 def test_db_copy_to(db_with_data, data):
     items = [dict(zip(COLUMNS, item)) for item in data]