diff --git a/providers/github/src/airflow/providers/github/hooks/github.py b/providers/github/src/airflow/providers/github/hooks/github.py
index d833be9d4b38b..b964f597140aa 100644
--- a/providers/github/src/airflow/providers/github/hooks/github.py
+++ b/providers/github/src/airflow/providers/github/hooks/github.py
@@ -24,11 +24,7 @@
 from github import Github as GithubClient
 
 from airflow.exceptions import AirflowException
-
-try:
-    from airflow.sdk import BaseHook
-except ImportError:
-    from airflow.hooks.base import BaseHook  # type: ignore[attr-defined,no-redef]
+from airflow.providers.github.version_compat import BaseHook
 
 
 class GithubHook(BaseHook):
diff --git a/providers/github/src/airflow/providers/github/version_compat.py b/providers/github/src/airflow/providers/github/version_compat.py
index 682d19a5f49be..7a03eaab7d19d 100644
--- a/providers/github/src/airflow/providers/github/version_compat.py
+++ b/providers/github/src/airflow/providers/github/version_compat.py
@@ -33,6 +33,12 @@ def get_base_airflow_version_tuple() -> tuple[int, int, int]:
 
 
 AIRFLOW_V_3_0_PLUS = get_base_airflow_version_tuple() >= (3, 0, 0)
+AIRFLOW_V_3_1_PLUS: bool = get_base_airflow_version_tuple() >= (3, 1, 0)
+
+if AIRFLOW_V_3_1_PLUS:
+    from airflow.sdk import BaseHook
+else:
+    from airflow.hooks.base import BaseHook  # type: ignore[attr-defined,no-redef]
 
 if AIRFLOW_V_3_0_PLUS:
     from airflow.sdk import BaseOperator, BaseSensorOperator
@@ -45,6 +51,8 @@ def get_base_airflow_version_tuple() -> tuple[int, int, int]:
 
 __all__ = [
     "AIRFLOW_V_3_0_PLUS",
+    "AIRFLOW_V_3_1_PLUS",
+    "BaseHook",
     "BaseOperator",
     "BaseSensorOperator",
     "Context",