diff --git a/replicate/deployment.py b/replicate/deployment.py
index e17edcbc..1f0fdaba 100644
--- a/replicate/deployment.py
+++ b/replicate/deployment.py
@@ -8,6 +8,7 @@
 from replicate.prediction import (
     Prediction,
     _create_prediction_body,
+    _create_prediction_headers,
     _json_to_prediction,
 )
 from replicate.resource import Namespace, Resource
@@ -425,12 +426,14 @@ def create(
                 client=self._client,
                 file_encoding_strategy=file_encoding_strategy,
             )
+        headers = _create_prediction_headers(wait=params.pop("wait", None))
         body = _create_prediction_body(version=None, input=input, **params)
 
         resp = self._client._request(
             "POST",
             f"/v1/deployments/{self._deployment.owner}/{self._deployment.name}/predictions",
             json=body,
+            headers=headers,
         )
 
         return _json_to_prediction(self._client, resp.json())
@@ -451,12 +454,14 @@ async def async_create(
                 client=self._client,
                 file_encoding_strategy=file_encoding_strategy,
             )
+        headers = _create_prediction_headers(wait=params.pop("wait", None))
         body = _create_prediction_body(version=None, input=input, **params)
 
         resp = await self._client._async_request(
             "POST",
             f"/v1/deployments/{self._deployment.owner}/{self._deployment.name}/predictions",
             json=body,
+            headers=headers,
         )
 
         return _json_to_prediction(self._client, resp.json())
diff --git a/replicate/model.py b/replicate/model.py
index ba5e1113..31f625af 100644
--- a/replicate/model.py
+++ b/replicate/model.py
@@ -9,6 +9,7 @@
 from replicate.prediction import (
     Prediction,
     _create_prediction_body,
+    _create_prediction_headers,
     _json_to_prediction,
 )
 from replicate.resource import Namespace, Resource
@@ -400,12 +401,14 @@ def create(
                 client=self._client,
                 file_encoding_strategy=file_encoding_strategy,
             )
+        headers = _create_prediction_headers(wait=params.pop("wait", None))
         body = _create_prediction_body(version=None, input=input, **params)
 
         resp = self._client._request(
             "POST",
             url,
             json=body,
+            headers=headers,
         )
 
         return _json_to_prediction(self._client, resp.json())
@@ -429,12 +432,14 @@ async def async_create(
                 client=self._client,
                 file_encoding_strategy=file_encoding_strategy,
             )
+        headers = _create_prediction_headers(wait=params.pop("wait", None))
         body = _create_prediction_body(version=None, input=input, **params)
 
         resp = await self._client._async_request(
             "POST",
             url,
             json=body,
+            headers=headers,
         )
 
         return _json_to_prediction(self._client, resp.json())
diff --git a/replicate/prediction.py b/replicate/prediction.py
index 9770029b..d09ef504 100644
--- a/replicate/prediction.py
+++ b/replicate/prediction.py
@@ -383,6 +383,15 @@ class CreatePredictionParams(TypedDict):
         stream: NotRequired[bool]
         """Enable streaming of prediction output."""
 
+        wait: NotRequired[Union[int, bool]]
+        """
+        Wait until the prediction is completed before returning.
+
+        If `True`, wait a predetermined number of seconds until the prediction
+        is completed before returning.
+        If an `int`, wait for the specified number of seconds.
+        """
+
         file_encoding_strategy: NotRequired[FileEncodingStrategy]
         """The strategy to use for encoding files in the prediction input."""
 
@@ -463,6 +472,7 @@ def create(  # type: ignore
                 client=self._client,
                 file_encoding_strategy=file_encoding_strategy,
             )
+        headers = _create_prediction_headers(wait=params.pop("wait", None))
         body = _create_prediction_body(
             version,
             input,
@@ -472,6 +482,7 @@ def create(  # type: ignore
         resp = self._client._request(
             "POST",
             "/v1/predictions",
+            headers=headers,
             json=body,
         )
 
@@ -554,6 +565,7 @@ async def async_create(  # type: ignore
                 client=self._client,
                 file_encoding_strategy=file_encoding_strategy,
             )
+        headers = _create_prediction_headers(wait=params.pop("wait", None))
         body = _create_prediction_body(
             version,
             input,
@@ -563,6 +575,7 @@ async def async_create(  # type: ignore
         resp = await self._client._async_request(
             "POST",
             "/v1/predictions",
+            headers=headers,
             json=body,
         )
 
@@ -603,6 +616,20 @@ async def async_cancel(self, id: str) -> Prediction:
         return _json_to_prediction(self._client, resp.json())
 
 
+def _create_prediction_headers(
+    *,
+    wait: Optional[Union[int, bool]] = None,
+) -> Dict[str, Any]:
+    headers = {}
+
+    if wait:
+        if isinstance(wait, bool):
+            headers["Prefer"] = "wait"
+        elif isinstance(wait, int):
+            headers["Prefer"] = f"wait={wait}"
+    return headers
+
+
 def _create_prediction_body(  # pylint: disable=too-many-arguments
     version: Optional[Union[Version, str]],
     input: Optional[Dict[str, Any]],