diff --git a/qiskit_ibm_runtime/base_primitive.py b/qiskit_ibm_runtime/base_primitive.py
index 113f5eca3..4dd596e2a 100644
--- a/qiskit_ibm_runtime/base_primitive.py
+++ b/qiskit_ibm_runtime/base_primitive.py
@@ -28,7 +28,6 @@
 from .session import get_cm_session
 from .constants import DEFAULT_DECODERS
 from .qiskit_runtime_service import QiskitRuntimeService
-from .utils.deprecation import issue_deprecation_msg
 
 # pylint: disable=unused-import,cyclic-import
 from .session import Session
@@ -70,7 +69,6 @@ def __init__(
         # The base class, however, uses a `_run_options` which is an instance of
         # qiskit.providers.Options. We largely ignore this _run_options because we use
         # a nested dictionary to categorize options.
-
         self._session: Optional[Session] = None
         self._service: QiskitRuntimeService = None
         self._backend: Optional[IBMBackend] = None
@@ -90,39 +88,11 @@ def __init__(
             self._backend = self._service.backend(
                 name=self._session.backend(), instance=self._session._instance
             )
-        elif isinstance(session, IBMBackend):
-            issue_deprecation_msg(
-                msg="Passing a backend instance as the ``session`` parameter is deprecated",
-                version="0.10.0",
-                remedy="Please pass it as the ``backend`` parameter instead.",
-            )
-            self._service = session.service
-            self._backend = session
-        elif isinstance(session, str):
-            issue_deprecation_msg(
-                msg="Passing a backend name as the ``session`` parameter is deprecated",
-                version="0.10.0",
-                remedy="Please pass it as the ``backend`` parameter instead.",
-            )
-            self._service = (
-                QiskitRuntimeService()
-                if QiskitRuntimeService.global_service is None
-                else QiskitRuntimeService.global_service
-            )
-            self._backend = self._service.backend(session)
-        elif isinstance(backend, Session):
-            issue_deprecation_msg(
-                msg="``session`` is no longer the first parameter when initializing "
-                "a Qiskit Runtime primitive",
-                version="0.10.0",
-                remedy="Please use ``session=session`` instead.",
-            )
-            self._session = backend
-            self._service = self._session.service
-            self._backend = self._service.backend(
-                name=self._session.backend(), instance=self._session._instance
-            )
-        elif isinstance(backend, IBMBackend):
+            return
+        elif session is not None:
+            raise ValueError("session must be of type Session or None")
+
+        if isinstance(backend, IBMBackend):
             self._service = backend.service
             self._backend = backend
         elif isinstance(backend, str):
@@ -148,16 +118,6 @@ def __init__(
                 raise ValueError(
                     "A backend or session must be specified when not using ibm_cloud channel."
                 )
-        # self._first_run = True
-        # self._circuits_map = {}
-        # if self.circuits:
-        #     for circuit in self.circuits:
-        #         circuit_id = _hash(
-        #             json.dumps(_circuit_key(circuit), cls=RuntimeEncoder)
-        #         )
-        #         if circuit_id not in self._session._circuits_map:
-        #             self._circuits_map[circuit_id] = circuit
-        #             self._session._circuits_map[circuit_id] = circuit
 
     def _run_primitive(self, primitive_inputs: Dict, user_kwargs: Dict) -> RuntimeJob:
         """Run the primitive.
diff --git a/test/unit/test_ibm_primitives.py b/test/unit/test_ibm_primitives.py
index a96f39388..4044acd67 100644
--- a/test/unit/test_ibm_primitives.py
+++ b/test/unit/test_ibm_primitives.py
@@ -173,13 +173,11 @@ def test_init_with_session_backend_str(self):
         for cls in primitives:
             with self.subTest(primitive=cls), patch(
                 "qiskit_ibm_runtime.base_primitive.QiskitRuntimeService"
-            ) as mock_service:
-                with self.assertWarns(DeprecationWarning):
-                    mock_service.reset_mock()
-                    mock_service.global_service = None
+            ):
+                with self.assertRaises(ValueError) as exc:
                     inst = cls(session=backend_name)
-                    mock_service.assert_called_once()
                     self.assertIsNone(inst.session)
+                self.assertIn("session must be of type Session or None", str(exc.exception))
 
     def test_init_with_backend_instance(self):
         """Test initializing a primitive with a backend instance."""
@@ -201,9 +199,10 @@ def test_init_with_backend_instance(self):
                 runtime_options = service.run.call_args.kwargs["options"]
                 self.assertEqual(runtime_options["backend"], backend.name)
 
-                with self.assertWarns(DeprecationWarning):
+                with self.assertRaises(ValueError) as exc:
                     inst = cls(session=backend)
                     self.assertIsNone(inst.session)
+                self.assertIn("session must be of type Session or None", str(exc.exception))
 
     def test_init_with_backend_session(self):
         """Test initializing a primitive with both backend and session."""