diff --git a/replicate/client.py b/replicate/client.py
index 4196d6aa..95c6e0a3 100644
--- a/replicate/client.py
+++ b/replicate/client.py
@@ -5,6 +5,7 @@
 
 import requests
 from requests.adapters import HTTPAdapter, Retry
+from requests.cookies import RequestsCookieJar
 
 from replicate.__about__ import __version__
 from replicate.exceptions import ModelError, ReplicateError
@@ -25,7 +26,7 @@ def __init__(self, api_token: Optional[str] = None) -> None:
         self.poll_interval = float(os.environ.get("REPLICATE_POLL_INTERVAL", "0.5"))
 
         # TODO: make thread safe
-        self.read_session = requests.Session()
+        self.read_session = _create_session()
         read_retries = Retry(
             total=5,
             backoff_factor=2,
@@ -50,7 +51,7 @@ def __init__(self, api_token: Optional[str] = None) -> None:
         self.read_session.mount("http://", HTTPAdapter(max_retries=read_retries))
         self.read_session.mount("https://", HTTPAdapter(max_retries=read_retries))
 
-        self.write_session = requests.Session()
+        self.write_session = _create_session()
         write_retries = Retry(
             total=5,
             backoff_factor=2,
@@ -138,3 +139,21 @@ def run(self, model_version: str, **kwargs) -> Union[Any, Iterator[Any]]:
         if prediction.status == "failed":
             raise ModelError(prediction.error)
         return prediction.output
+
+
+class _NonpersistentCookieJar(RequestsCookieJar):
+    """
+    A cookie jar that doesn't persist cookies between requests.
+    """
+
+    def set(self, name, value, **kwargs) -> None:
+        return
+
+    def set_cookie(self, cookie, *args, **kwargs) -> None:
+        return
+
+
+def _create_session() -> requests.Session:
+    s = requests.Session()
+    s.cookies = _NonpersistentCookieJar()
+    return s