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/conftest.py b/swh/core/db/tests/conftest.py
--- a/swh/core/db/tests/conftest.py
+++ b/swh/core/db/tests/conftest.py
@@ -1,3 +1,12 @@
 import os
 
+from hypothesis import HealthCheck
+
 os.environ["LC_ALL"] = "C.UTF-8"
+
+# we use getattr here to keep mypy happy regardless hypothesis version
+function_scoped_fixture_check = (
+    [getattr(HealthCheck, "function_scoped_fixture")]
+    if hasattr(HealthCheck, "function_scoped_fixture")
+    else []
+)
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 +12,7 @@
 from unittest.mock import MagicMock, Mock
 import uuid
 
-from hypothesis import given, strategies
+from hypothesis import given, settings, strategies
 from hypothesis.extra.pytz import timezones
 import psycopg2
 import pytest
@@ -21,6 +21,7 @@
 from swh.core.db import BaseDb
 from swh.core.db.common import db_transaction, db_transaction_generator
 from swh.core.db.pytest_plugin import postgresql_fact
+from swh.core.db.tests.conftest import function_scoped_fixture_check
 
 
 # workaround mypy bug https://github.com/python/mypy/issues/5485
@@ -282,6 +283,7 @@
         assert EXPECTED_ROW_OUT == output[0]
 
 
+@settings(suppress_health_check=function_scoped_fixture_check)
 @given(db_rows)
 def test_db_copy_to(db_with_data, data):
     items = [dict(zip(COLUMNS, item)) for item in data]