diff --git a/requirements/freethreading.txt b/requirements/freethreading.txt
index b72e5141f..f72919446 100644
--- a/requirements/freethreading.txt
+++ b/requirements/freethreading.txt
@@ -29,7 +29,7 @@
 #     hypothesis' pure-Python API, which is unchanged across that boundary.
 #
 # Everything else in test.txt installs unmodified on both 3.13t and 3.14t.
-hypothesis>=3.31; python_version >= '3.14'
+hypothesis>=6.165.2; python_version >= '3.14'
 hypothesis>=3.31,<6.130; python_version < '3.14'
 freezegun>=0.3.11
 pytest-aiofiles>=0.2.0
diff --git a/requirements/test.txt b/requirements/test.txt
index ab3faa506..c295f8bbc 100644
--- a/requirements/test.txt
+++ b/requirements/test.txt
@@ -8,7 +8,7 @@ autoflake
 flake8==5.0.4  # 5.0.4 can be upgraded to 6.0.0+ when we EOL Python 3.7
 flake8-bugbear
 flake8-comprehensions
-hypothesis>=3.31
+hypothesis>=6.165.2
 freezegun>=0.3.11
 mock; python_version<'3.8'  # backport that contains AsyncMock class, includes mock library as dependency
 pre-commit