diff --git a/replicate/training.py b/replicate/training.py
index 1f20660..8125cdf 100644
--- a/replicate/training.py
+++ b/replicate/training.py
@@ -418,4 +418,14 @@ def _create_training_url_from_model_and_version(
 def _json_to_training(client: "Client", json: Dict[str, Any]) -> Training:
     training = Training(**json)
     training._client = client
+
+    # FIXME: This should be populated by the API
+    if (
+        training.output
+        and isinstance(training.output, dict)
+        and "version" in training.output
+    ):
+        id = ModelVersionIdentifier.parse(training.output["version"])
+        training.destination = f"{id.owner}/{id.name}"
+
     return training
diff --git a/tests/test_training.py b/tests/test_training.py
index 64926c6..930ca6a 100644
--- a/tests/test_training.py
+++ b/tests/test_training.py
@@ -1,4 +1,6 @@
+import httpx
 import pytest
+import respx
 
 import replicate
 from replicate.exceptions import ReplicateException
@@ -188,3 +190,54 @@ async def test_trainings_cancel_instance_method(async_flag, mock_replicate_api_t
 
         training.cancel()
         assert training.status == "canceled"
+
+
+router = respx.Router(base_url="https://api.replicate.com/v1")
+
+router.route(
+    method="GET",
+    path="/trainings/zz4ibbonubfz7carwiefibzgga",
+    name="trainings.get",
+).mock(
+    return_value=httpx.Response(
+        201,
+        json={
+            "completed_at": "2023-09-08T16:41:19.826523Z",
+            "created_at": "2023-09-08T16:32:57.018467Z",
+            "error": None,
+            "id": "zz4ibbonubfz7carwiefibzgga",
+            "input": {"input_images": "https://example.com/my-input-images.zip"},
+            "logs": "...",
+            "metrics": {"predict_time": 502.713876},
+            "output": {
+                "version": "replicate/my-app-image-generator:8a43525956ef4039702e509c789964a7ea873697be9033abf9fd2badfe68c9e3",
+                "weights": "https://weights.replicate.com/example.tar",
+            },
+            "started_at": "2023-09-08T16:32:57.112647Z",
+            "status": "succeeded",
+            "urls": {
+                "get": "https://api.replicate.com/v1/trainings/zz4ibbonubfz7carwiefibzgga",
+                "cancel": "https://api.replicate.com/v1/trainings/zz4ibbonubfz7carwiefibzgga/cancel",
+            },
+            "model": "stability-ai/sdxl",
+            "version": "da77bc59ee60423279fd632efb4795ab731d9e3ca9705ef3341091fb989b7eaf",
+        },
+    )
+)
+
+router.route(host="api.replicate.com").pass_through()
+
+
+@pytest.mark.asyncio
+@pytest.mark.parametrize("async_flag", [True, False])
+async def test_training_gets_destination_from_output(async_flag):
+    client = replicate.Client(
+        api_token="test-token", transport=httpx.MockTransport(router.handler)
+    )
+
+    if async_flag:
+        training = await client.trainings.async_get("zz4ibbonubfz7carwiefibzgga")
+    else:
+        training = client.trainings.get("zz4ibbonubfz7carwiefibzgga")
+
+    assert training.destination == "replicate/my-app-image-generator"