diff --git a/src/cryptography/utils.py b/src/cryptography/utils.py
index 5bef160d9..df3abc8c1 100644
--- a/src/cryptography/utils.py
+++ b/src/cryptography/utils.py
@@ -143,11 +143,16 @@ def deprecated(
     module_name: str,
     message: str,
     warning_class: typing.Type[Warning],
+    name: typing.Optional[str] = None,
 ) -> _DeprecatedValue:
     module = sys.modules[module_name]
     if not isinstance(module, _ModuleWithDeprecations):
-        sys.modules[module_name] = _ModuleWithDeprecations(module)
-    return _DeprecatedValue(value, message, warning_class)
+        sys.modules[module_name] = module = _ModuleWithDeprecations(module)
+    dv = _DeprecatedValue(value, message, warning_class)
+    # Maintain backwards compatibility with `name is None` for pyOpenSSL.
+    if name is not None:
+        setattr(module, name, dv)
+    return dv
 
 
 def cached_property(func: typing.Callable) -> property:
diff --git a/tests/deprecated_module.py b/tests/deprecated_module.py
index 946440620..421af3d50 100644
--- a/tests/deprecated_module.py
+++ b/tests/deprecated_module.py
@@ -6,8 +6,13 @@ from cryptography import utils
 
 # This module exists to test `cryptography.utils.deprecated`
 
-DEPRECATED = utils.deprecated(
-    3, __name__, "Test Deprecated Object", DeprecationWarning
+DEPRECATED = 3
+utils.deprecated(
+    DEPRECATED,
+    __name__,
+    "Test Deprecated Object",
+    DeprecationWarning,
+    name="DEPRECATED",
 )
 
 NOT_DEPRECATED = 12
diff --git a/tests/test_warnings.py b/tests/test_warnings.py
index 2400f21b8..412ff6323 100644
--- a/tests/test_warnings.py
+++ b/tests/test_warnings.py
@@ -18,7 +18,8 @@ class TestDeprecated:
     def test_deprecated(self, monkeypatch):
         mod = types.ModuleType("TestDeprecated/test_deprecated")
         monkeypatch.setitem(sys.modules, mod.__name__, mod)
-        mod.X = deprecated(
+        deprecated(
+            name="X",
             value=1,
             module_name=mod.__name__,
             message="deprecated message text",
@@ -53,7 +54,8 @@ class TestDeprecated:
     def test_deleting_deprecated_members(self, monkeypatch):
         mod = types.ModuleType("TestDeprecated/test_deprecated")
         monkeypatch.setitem(sys.modules, mod.__name__, mod)
-        mod.X = deprecated(
+        deprecated(
+            name="X",
             value=1,
             module_name=mod.__name__,
             message="deprecated message text",