diff --git a/qiskit_ibm_runtime/base_primitive.py b/qiskit_ibm_runtime/base_primitive.py
index f5f145547..db677acc0 100644
--- a/qiskit_ibm_runtime/base_primitive.py
+++ b/qiskit_ibm_runtime/base_primitive.py
@@ -34,7 +34,7 @@
 from .runtime_job_v2 import RuntimeJobV2
 from .ibm_backend import IBMBackend
 from .utils.default_session import get_cm_session
-from .utils.deprecation import issue_deprecation_msg
+from .utils.deprecation import issue_deprecation_msg, deprecate_function
 from .utils.utils import validate_isa_circuits, is_simulator
 from .constants import DEFAULT_DECODERS
 from .qiskit_runtime_service import QiskitRuntimeService
@@ -178,6 +178,16 @@ def _run(self, pubs: Union[list[EstimatorPub], list[SamplerPub]]) -> RuntimeJobV
             inputs=primitive_inputs,
         )
 
+    @property
+    def session(self) -> Optional[Session]:
+        """Return mode used by this primitive.
+
+        Returns:
+           Mode used by this primitive, or ``None`` if session is not used.
+        """
+        deprecate_function("session", "0.23.0", "Please use the 'mode' property instead.")
+        return self._mode
+
     @property
     def mode(self) -> Optional[Session | Batch | str]:
         """Return the execution mode used by this primitive.
diff --git a/qiskit_ibm_runtime/estimator.py b/qiskit_ibm_runtime/estimator.py
index 5768d4b8e..a0c4361d9 100644
--- a/qiskit_ibm_runtime/estimator.py
+++ b/qiskit_ibm_runtime/estimator.py
@@ -115,13 +115,14 @@ def __init__(
         """Initializes the Estimator primitive.
 
         Args:
-            mode: The execution mode used to make the primitive query. It can be
+            mode: The execution mode used to make the primitive query. It can be:
 
                 * A :class:`Backend` if you are using job mode.
                 * A :class:`Session` if you are using session execution mode.
                 * A :class:`Batch` if you are using batch execution mode.
-            Refer to the `Qiskit Runtime documentation <https://docs.quantum.ibm.com/run>`_.
-            for more information about the ``Execution modes``.
+
+                Refer to the `Qiskit Runtime documentation <https://docs.quantum.ibm.com/run>`_.
+                for more information about the ``Execution modes``.
 
             backend: Backend to run the primitive. This can be a backend name or an :class:`IBMBackend`
                 instance. If a name is specified, the default account (e.g. ``QiskitRuntimeService()``)
diff --git a/qiskit_ibm_runtime/sampler.py b/qiskit_ibm_runtime/sampler.py
index 5e91f51ae..bdef09548 100644
--- a/qiskit_ibm_runtime/sampler.py
+++ b/qiskit_ibm_runtime/sampler.py
@@ -73,13 +73,14 @@ def __init__(
         """Initializes the Sampler primitive.
 
         Args:
-            mode: The execution mode used to make the primitive query. It can be
+            mode: The execution mode used to make the primitive query. It can be:
 
                 * A :class:`Backend` if you are using job mode.
                 * A :class:`Session` if you are using session execution mode.
                 * A :class:`Batch` if you are using batch execution mode.
-            Refer to the `Qiskit Runtime documentation <https://docs.quantum.ibm.com/run>`_.
-            for more information about the ``Execution modes``.
+
+                Refer to the `Qiskit Runtime documentation <https://docs.quantum.ibm.com/run>`_.
+                for more information about the ``Execution modes``.
 
             backend: Backend to run the primitive. This can be a backend name or an :class:`IBMBackend`
                 instance. If a name is specified, the default account (e.g. ``QiskitRuntimeService()``)
@@ -87,6 +88,7 @@ def __init__(
 
             session: Session in which to call the primitive.
 
+                If both ``session`` and ``backend`` are specified, ``session`` takes precedence.
                 If neither is specified, and the primitive is created inside a
                 :class:`qiskit_ibm_runtime.Session` context manager, then the session is used.
                 Otherwise if IBM Cloud channel is used, a default backend is selected.