diff --git a/src/sagemaker/huggingface/model.py b/src/sagemaker/huggingface/model.py
index 74eeeb2546..ac9d1c852c 100644
--- a/src/sagemaker/huggingface/model.py
+++ b/src/sagemaker/huggingface/model.py
@@ -200,6 +200,7 @@ def deploy(
         deserializer=None,
         accelerator_type=None,
         endpoint_name=None,
+        variant_name="AllTraffic",
         tags=None,
         kms_key=None,
         wait=True,
@@ -253,6 +254,8 @@ def deploy(
                 https://docs.aws.amazon.com/sagemaker/latest/dg/ei.html
             endpoint_name (str): The name of the endpoint to create (default:
                 None). If not specified, a unique endpoint name will be created.
+            variant_name (string): The ``VariantName`` of this production variant
+                (default: 'AllTraffic').
             tags (List[dict[str, str]]): The list of tags to attach to this
                 specific endpoint.
             kms_key (str): The ARN of the KMS key that is used to encrypt the
@@ -317,6 +320,7 @@ def deploy(
             deserializer,
             accelerator_type,
             endpoint_name,
+            variant_name,
             tags,
             kms_key,
             wait,
diff --git a/src/sagemaker/model.py b/src/sagemaker/model.py
index d0f833795c..1488075ed0 100644
--- a/src/sagemaker/model.py
+++ b/src/sagemaker/model.py
@@ -1190,6 +1190,7 @@ def deploy(
         deserializer=None,
         accelerator_type=None,
         endpoint_name=None,
+        variant_name="AllTraffic",
         tags=None,
         kms_key=None,
         wait=True,
@@ -1245,6 +1246,8 @@ def deploy(
                 https://docs.aws.amazon.com/sagemaker/latest/dg/ei.html
             endpoint_name (str): The name of the endpoint to create (default:
                 None). If not specified, a unique endpoint name will be created.
+            variant_name (string): The ``VariantName`` of this production variant
+                (default: 'AllTraffic').
             tags (List[dict[str, str]]): The list of tags to attach to this
                 specific endpoint.
             kms_key (str): The ARN of the KMS key that is used to encrypt the
@@ -1388,6 +1391,7 @@ def deploy(
             self.name,
             instance_type,
             initial_instance_count,
+            variant_name=variant_name,
             accelerator_type=accelerator_type,
             serverless_inference_config=serverless_inference_config_dict,
             volume_size=volume_size,
diff --git a/src/sagemaker/multidatamodel.py b/src/sagemaker/multidatamodel.py
index 93b73850ec..b5b7a7b82d 100644
--- a/src/sagemaker/multidatamodel.py
+++ b/src/sagemaker/multidatamodel.py
@@ -159,6 +159,7 @@ def deploy(
         deserializer=None,
         accelerator_type=None,
         endpoint_name=None,
+        variant_name="AllTraffic",
         tags=None,
         kms_key=None,
         wait=True,
@@ -204,6 +205,8 @@ def deploy(
                 https://docs.aws.amazon.com/sagemaker/latest/dg/ei.html
             endpoint_name (str): The name of the endpoint to create (default:
                 None). If not specified, a unique endpoint name will be created.
+            variant_name (string): The ``VariantName`` of this production variant
+                (default: 'AllTraffic').
             tags (List[dict[str, str]]): The list of tags to attach to this
                 specific endpoint.
             kms_key (str): The ARN of the KMS key that is used to encrypt the
@@ -251,7 +254,11 @@ def deploy(
         )
 
         production_variant = sagemaker.production_variant(
-            self.name, instance_type, initial_instance_count, accelerator_type=accelerator_type
+            self.name,
+            instance_type,
+            initial_instance_count,
+            variant_name=variant_name,
+            accelerator_type=accelerator_type,
         )
         if endpoint_name:
             self.endpoint_name = endpoint_name