diff --git a/providers/ssh/src/airflow/providers/ssh/hooks/ssh.py b/providers/ssh/src/airflow/providers/ssh/hooks/ssh.py
index 5a5d1ab0fb933..43fca90dce57b 100644
--- a/providers/ssh/src/airflow/providers/ssh/hooks/ssh.py
+++ b/providers/ssh/src/airflow/providers/ssh/hooks/ssh.py
@@ -33,11 +33,7 @@
 from tenacity import Retrying, stop_after_attempt, wait_fixed, wait_random
 
 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.ssh.version_compat import BaseHook
 from airflow.utils.platform import getuser
 from airflow.utils.types import NOTSET, ArgNotSet
 
diff --git a/providers/ssh/src/airflow/providers/ssh/version_compat.py b/providers/ssh/src/airflow/providers/ssh/version_compat.py
index 4f8d5e32bca4a..f800a29bbb739 100644
--- a/providers/ssh/src/airflow/providers/ssh/version_compat.py
+++ b/providers/ssh/src/airflow/providers/ssh/version_compat.py
@@ -33,10 +33,16 @@ 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
 else:
     from airflow.models import BaseOperator  # type: ignore[no-redef]
 
-__all__ = ["AIRFLOW_V_3_0_PLUS", "BaseOperator"]
+__all__ = ["AIRFLOW_V_3_0_PLUS", "AIRFLOW_V_3_1_PLUS", "BaseHook", "BaseOperator"]