diff --git a/airflow/providers/google/CHANGELOG.rst b/airflow/providers/google/CHANGELOG.rst
index ad85c5d662e11..9cb29093ec936 100644
--- a/airflow/providers/google/CHANGELOG.rst
+++ b/airflow/providers/google/CHANGELOG.rst
@@ -42,6 +42,10 @@ Breaking changes
 
 * ``GCSObjectsWtihPrefixExistenceSensor`` removed. Please use ``GCSObjectsWithPrefixExistenceSensor``.
 
+* ``PubSubPullSensor``: Remove ``project``. Please use ``project_id``
+
+* ``PubSubPullSensor``: Remove ``return_immediately``
+
 6.8.0
 .....
 
diff --git a/airflow/providers/google/cloud/sensors/pubsub.py b/airflow/providers/google/cloud/sensors/pubsub.py
index 11abeca4dd1be..86081de72f4a0 100644
--- a/airflow/providers/google/cloud/sensors/pubsub.py
+++ b/airflow/providers/google/cloud/sensors/pubsub.py
@@ -16,7 +16,6 @@
 # specific language governing permissions and limitations
 # under the License.
 """This module contains a Google PubSub sensor."""
-import warnings
 from typing import TYPE_CHECKING, Any, Callable, List, Optional, Sequence, Union
 
 from google.cloud.pubsub_v1.types import ReceivedMessage
@@ -49,23 +48,18 @@ class PubSubPullSensor(BaseSensorOperator):
     acknowledged before being returned, otherwise, downstream tasks will be
     responsible for acknowledging them.
 
-    ``project`` and ``subscription`` are templated so you can use
+    If you want a non-blocking task that does not to wait for messages, please use
+    :class:`~airflow.providers.google.cloud.operators.pubsub.PubSubPullOperator`
+    instead.
+
+    ``project_id`` and ``subscription`` are templated so you can use
     variables in them.
 
-    :param project: the Google Cloud project ID for the subscription (templated)
+    :param project_id: the Google Cloud project ID for the subscription (templated)
     :param subscription: the Pub/Sub subscription name. Do not include the
         full subscription path.
     :param max_messages: The maximum number of messages to retrieve per
         PubSub pull request
-    :param return_immediately:
-        (Deprecated) This is an underlying PubSub API implementation detail.
-        It has no real effect on Sensor behaviour other than some internal wait time before retrying
-        on empty queue.
-        The Sensor task will (by definition) always wait for a message, regardless of this argument value.
-
-        If you want a non-blocking task that does not to wait for messages, please use
-        :class:`~airflow.providers.google.cloud.operators.pubsub.PubSubPullOperator`
-        instead.
     :param ack_messages: If True, each message will be acknowledged
         immediately rather than by any downstream tasks
     :param gcp_conn_id: The connection ID to use connecting to
@@ -101,36 +95,13 @@ def __init__(
         project_id: str,
         subscription: str,
         max_messages: int = 5,
-        return_immediately: bool = True,
         ack_messages: bool = False,
         gcp_conn_id: str = 'google_cloud_default',
         messages_callback: Optional[Callable[[List[ReceivedMessage], "Context"], Any]] = None,
         delegate_to: Optional[str] = None,
-        project: Optional[str] = None,
         impersonation_chain: Optional[Union[str, Sequence[str]]] = None,
         **kwargs,
     ) -> None:
-        # To preserve backward compatibility
-        # TODO: remove one day
-        if project:
-            warnings.warn(
-                "The project parameter has been deprecated. You should pass the project_id parameter.",
-                DeprecationWarning,
-                stacklevel=2,
-            )
-            project_id = project
-
-        if not return_immediately:
-            warnings.warn(
-                "The return_immediately parameter is deprecated.\n"
-                " It exposes what is really just an implementation detail of underlying PubSub API.\n"
-                " It has no effect on PubSubPullSensor behaviour.\n"
-                " It should be left as default value of True.\n"
-                " If is here only because of backwards compatibility.\n"
-                " If may be removed in the future.\n",
-                DeprecationWarning,
-                stacklevel=2,
-            )
 
         super().__init__(**kwargs)
         self.gcp_conn_id = gcp_conn_id
@@ -138,7 +109,6 @@ def __init__(
         self.project_id = project_id
         self.subscription = subscription
         self.max_messages = max_messages
-        self.return_immediately = return_immediately
         self.ack_messages = ack_messages
         self.messages_callback = messages_callback
         self.impersonation_chain = impersonation_chain
@@ -161,7 +131,7 @@ def poke(self, context: "Context") -> bool:
             project_id=self.project_id,
             subscription=self.subscription,
             max_messages=self.max_messages,
-            return_immediately=self.return_immediately,
+            return_immediately=True,
         )
 
         handle_messages = self.messages_callback or self._default_message_callback