diff --git a/replicate/schema.py b/replicate/schema.py
index a48d2351..0fb784a3 100644
--- a/replicate/schema.py
+++ b/replicate/schema.py
@@ -1,11 +1,16 @@
+from typing import Optional
+
 from packaging import version
 
 # TODO: this code is shared with replicate's backend. Maybe we should put it in the Cog Python package as the source of truth?
 
 
-def version_has_no_array_type(cog_version: str) -> bool:
+def version_has_no_array_type(cog_version: str) -> Optional[bool]:
     """Iterators have x-cog-array-type=iterator in the schema from 0.3.9 onward"""
-    return version.parse(cog_version) < version.parse("0.3.9")
+    try:
+        return version.parse(cog_version) < version.parse("0.3.9")
+    except version.InvalidVersion:
+        return None
 
 
 def make_schema_backwards_compatible(
@@ -13,6 +18,7 @@ def make_schema_backwards_compatible(
     version: str,
 ) -> dict:
     """A place to add backwards compatibility logic for our openapi schema"""
+
     # If the top-level output is an array, assume it is an iterator in old versions which didn't have an array type
     if version_has_no_array_type(version):
         output = schema["components"]["schemas"]["Output"]
diff --git a/tests/test_run.py b/tests/test_run.py
index 6aceec11..e000c9b8 100644
--- a/tests/test_run.py
+++ b/tests/test_run.py
@@ -1,6 +1,9 @@
+import httpx
 import pytest
+import respx
 
 import replicate
+from replicate.client import Client
 from replicate.exceptions import ReplicateError
 
 
@@ -31,3 +34,90 @@ async def test_run(mock_replicate_api_token):
 def test_run_with_invalid_identifier(mock_replicate_api_token):
     with pytest.raises(ReplicateError):
         replicate.run("invalid")
+
+
+@pytest.mark.asyncio
+async def test_run_version_with_invalid_cog_version(mock_replicate_api_token):
+    def prediction_with_status(status: str) -> dict:
+        return {
+            "id": "p1",
+            "version": "v1",
+            "urls": {
+                "get": "https://api.replicate.com/v1/predictions/p1",
+                "cancel": "https://api.replicate.com/v1/predictions/p1/cancel",
+            },
+            "created_at": "2023-10-05T12:00:00.000000Z",
+            "source": "api",
+            "status": status,
+            "input": {"text": "world"},
+            "output": "Hello, world!" if status == "succeeded" else None,
+            "error": None,
+            "logs": "",
+        }
+
+    router = respx.Router(base_url="https://api.replicate.com/v1")
+    router.route(method="POST", path="/predictions").mock(
+        return_value=httpx.Response(
+            201,
+            json=prediction_with_status("running"),
+        )
+    )
+    router.route(method="GET", path="/predictions/p1").mock(
+        return_value=httpx.Response(
+            200,
+            json=prediction_with_status("succeeded"),
+        )
+    )
+    router.route(
+        method="GET",
+        path="/models/test/example/versions/invalid",
+    ).mock(
+        return_value=httpx.Response(
+            201,
+            json={
+                "id": "f2d6b24e6002f25f77ae89c2b0a5987daa6d0bf751b858b94b8416e8542434d1",
+                "created_at": "2022-03-16T00:35:56.210272Z",
+                "cog_version": "dev",
+                "openapi_schema": {
+                    "openapi": "3.0.2",
+                    "info": {"title": "Cog", "version": "0.1.0"},
+                    "paths": {},
+                    "components": {
+                        "schemas": {
+                            "Input": {
+                                "type": "object",
+                                "title": "Input",
+                                "required": ["text"],
+                                "properties": {
+                                    "text": {
+                                        "type": "string",
+                                        "title": "Text",
+                                        "x-order": 0,
+                                        "description": "The text input",
+                                    },
+                                },
+                            },
+                            "Output": {
+                                "type": "string",
+                                "title": "Output",
+                            },
+                        }
+                    },
+                },
+            },
+        )
+    )
+    router.route(host="api.replicate.com").pass_through()
+
+    client = Client(
+        api_token="test-token", transport=httpx.MockTransport(router.handler)
+    )
+
+    output = client.run(
+        "test/example:invalid",
+        input={
+            "text": "Hello, world!",
+        },
+    )
+
+    assert output == "Hello, world!"