diff --git a/airflow/providers/common/sql/hooks/sql.py b/airflow/providers/common/sql/hooks/sql.py
index 76d79808500ea..bd2259802d8bb 100644
--- a/airflow/providers/common/sql/hooks/sql.py
+++ b/airflow/providers/common/sql/hooks/sql.py
@@ -17,9 +17,10 @@
 import warnings
 from contextlib import closing
 from datetime import datetime
-from typing import TYPE_CHECKING, Any, Callable, Iterable, List, Mapping, Optional, Tuple, Union
+from typing import TYPE_CHECKING, Any, Callable, Iterable, List, Mapping, Optional, Tuple, Type, Union
 
 import sqlparse
+from packaging.version import Version
 from sqlalchemy import create_engine
 from typing_extensions import Protocol
 
@@ -27,6 +28,7 @@
 from airflow.hooks.base import BaseHook
 from airflow.providers_manager import ProvidersManager
 from airflow.utils.module_loading import import_string
+from airflow.version import version
 
 if TYPE_CHECKING:
     from sqlalchemy.engine import CursorResult
@@ -76,7 +78,21 @@ def connect(self, host: str, port: int, username: str, schema: str) -> Any:
         """
 
 
-class DbApiHook(BaseHook):
+# In case we are running it on Airflow 2.4+, we should use BaseHook, but on Airflow 2.3 and below
+# We want the DbApiHook to derive from the original DbApiHook from airflow, because otherwise
+# SqlSensor and BaseSqlOperator from "airflow.operators" and "airflow.sensors" will refuse to
+# accept the new Hooks as not derived from the original DbApiHook
+if Version(version) < Version('2.4'):
+    try:
+        from airflow.hooks.dbapi import DbApiHook as BaseForDbApiHook
+    except ImportError:
+        # just in case we have a problem with circular import
+        BaseForDbApiHook: Type[BaseHook] = BaseHook  # type: ignore[no-redef]
+else:
+    BaseForDbApiHook: Type[BaseHook] = BaseHook  # type: ignore[no-redef]
+
+
+class DbApiHook(BaseForDbApiHook):
     """
     Abstract base class for sql hooks.
 
diff --git a/tests/providers/common/sql/hooks/test_dbapi.py b/tests/providers/common/sql/hooks/test_dbapi.py
index a44fa57e075a7..e957e264f3b8a 100644
--- a/tests/providers/common/sql/hooks/test_dbapi.py
+++ b/tests/providers/common/sql/hooks/test_dbapi.py
@@ -23,10 +23,19 @@
 
 import pytest
 
+from airflow.hooks.base import BaseHook
 from airflow.models import Connection
 from airflow.providers.common.sql.hooks.sql import DbApiHook
 
 
+class DbApiHookInProvider(DbApiHook):
+    conn_name_attr = 'test_conn_id'
+
+
+class NonDbApiHook(BaseHook):
+    pass
+
+
 class TestDbApiHook(unittest.TestCase):
     def setUp(self):
         super().setUp()
@@ -390,3 +399,14 @@ def test_run_no_queries(self):
         with pytest.raises(ValueError) as err:
             self.db_hook.run(sql=[])
         assert err.value.args[0] == "List of SQL statements is empty"
+
+    def test_instance_check_works_for_provider_derived_hook(self):
+        assert isinstance(DbApiHookInProvider(), DbApiHook)
+
+    def test_instance_check_works_for_non_db_api_hook(self):
+        assert not isinstance(NonDbApiHook(), DbApiHook)
+
+    def test_instance_check_works_for_legacy_db_api_hook(self):
+        from airflow.hooks.dbapi import DbApiHook as LegacyDbApiHook
+
+        assert isinstance(DbApiHookInProvider(), LegacyDbApiHook)