diff --git a/tests/test_decorator.py b/tests/test_decorator.py
index 1100588..f2c965a 100644
--- a/tests/test_decorator.py
+++ b/tests/test_decorator.py
@@ -14,7 +14,7 @@
 
 
 @Memoize(Cache("tlfu", 1000), None)
-def foo(id: int, m: Mock) -> dict[str, int]:
+def foo(id: int, m: Mock) -> Dict[str, int]:
     m(id)
     return {"id": id}
 
diff --git a/theine/adapters/django.py b/theine/adapters/django.py
index 3366556..3dc89b5 100644
--- a/theine/adapters/django.py
+++ b/theine/adapters/django.py
@@ -1,6 +1,6 @@
 from datetime import timedelta
 from threading import Lock
-from typing import Any, Callable, Optional, Union
+from typing import Any, Callable, Dict, Optional, Union
 
 from django.core.cache.backends.base import BaseCache, DEFAULT_TIMEOUT
 
@@ -13,7 +13,7 @@
 
 
 class Cache(BaseCache):
-    def __init__(self, name: str, params: dict[str, Any]):
+    def __init__(self, name: str, params: Dict[str, Any]):
         super().__init__(params)
         options = params.get("OPTIONS", {})
         policy = options.get("POLICY", "tlfu")
diff --git a/theine/theine.py b/theine/theine.py
index 4a4b60d..70faa5f 100644
--- a/theine/theine.py
+++ b/theine/theine.py
@@ -64,7 +64,7 @@ def remove(self, key: str) -> Optional[int]:
     def access(self, key: str) -> Optional[int]:
         ...
 
-    def advance(self, cache: list[Any], sentinel: Any, kh: dict[int, Hashable], hk: dict[Hashable, int]) -> None:
+    def advance(self, cache: List[Any], sentinel: Any, kh: Dict[int, Hashable], hk: Dict[Hashable, int]) -> None:
         ...
 
     def clear(self) -> None:
@@ -89,7 +89,7 @@ def remove(self, key: str) -> Optional[int]:
     def access(self, key: str) -> Optional[int]:
         ...
 
-    def advance(self, cache: list[Any], sentinel: Any, kh: dict[int, Hashable], hk: dict[Hashable, int]) -> None:
+    def advance(self, cache: List[Any], sentinel: Any, kh: Dict[int, Hashable], hk: Dict[Hashable, int]) -> None:
         ...
 
     def clear(self) -> None:
@@ -107,7 +107,7 @@ def len(self) -> int:
 
 P = ParamSpec("P")
 R = TypeVar("R", covariant=True, bound=Any)
-R_A = TypeVar("R_A", covariant=True, bound=Awaitable[Any] | Callable[..., Any])
+R_A = TypeVar("R_A", covariant=True, bound=Union[Awaitable[Any], Callable[..., Any]])
 
 
 @dataclass