diff --git a/src/huggingface_hub/_inference_endpoints.py b/src/huggingface_hub/_inference_endpoints.py
index cff348bca0..651efc97b0 100644
--- a/src/huggingface_hub/_inference_endpoints.py
+++ b/src/huggingface_hub/_inference_endpoints.py
@@ -238,11 +238,13 @@ def update(
         instance_type: Optional[str] = None,
         min_replica: Optional[int] = None,
         max_replica: Optional[int] = None,
+        scale_to_zero_timeout: Optional[int] = None,
         # Model update
         repository: Optional[str] = None,
         framework: Optional[str] = None,
         revision: Optional[str] = None,
         task: Optional[str] = None,
+        custom_image: Optional[Dict] = None,
     ) -> "InferenceEndpoint":
         """Update the Inference Endpoint.
 
@@ -263,6 +265,8 @@ def update(
                 The minimum number of replicas (instances) to keep running for the Inference Endpoint.
             max_replica (`int`, *optional*):
                 The maximum number of replicas (instances) to scale to for the Inference Endpoint.
+            scale_to_zero_timeout (`int`, *optional*):
+                The duration in minutes before an inactive endpoint is scaled to zero.
 
             repository (`str`, *optional*):
                 The name of the model repository associated with the Inference Endpoint (e.g. `"gpt2"`).
@@ -272,6 +276,9 @@ def update(
                 The specific model revision to deploy on the Inference Endpoint (e.g. `"6c0e6080953db56375760c0471a8c5f2929baf11"`).
             task (`str`, *optional*):
                 The task on which to deploy the model (e.g. `"text-classification"`).
+            custom_image (`Dict`, *optional*):
+                A custom Docker image to use for the Inference Endpoint. This is useful if you want to deploy an
+                Inference Endpoint running on the `text-generation-inference` (TGI) framework (see examples).
 
         Returns:
             [`InferenceEndpoint`]: the same Inference Endpoint, mutated in place with the latest data.
@@ -285,10 +292,12 @@ def update(
             instance_type=instance_type,
             min_replica=min_replica,
             max_replica=max_replica,
+            scale_to_zero_timeout=scale_to_zero_timeout,
             repository=repository,
             framework=framework,
             revision=revision,
             task=task,
+            custom_image=custom_image,
             token=self._token,  # type: ignore [arg-type]
         )