diff --git a/tests/test_dependency_runtime_errors.py b/tests/test_dependency_runtime_errors.py
index 5dd45976e..9fbf5b735 100644
--- a/tests/test_dependency_runtime_errors.py
+++ b/tests/test_dependency_runtime_errors.py
@@ -3,10 +3,11 @@ from anyio import open_file
 from fastapi import Depends, FastAPI
 from fastapi.testclient import TestClient
 
-app = FastAPI()
+app_reraises = FastAPI()
+app_doesnt_reraise = FastAPI()
 
 
-async def get_username():
+async def get_username_reraises():
     try:
         async with await open_file("/path/to/sanchez.txt", "r") as f:
             yield await f.read()  # pragma: no cover
@@ -14,16 +15,41 @@ async def get_username():
         raise RuntimeError("File something something, wubba lubba dub dub!") from ex
 
 
-@app.get("/me")
-def get_me(username: str = Depends(get_username)):
+async def get_username_doesnt_reraise():
+    try:
+        async with await open_file("/path/to/sanchez.txt", "r") as f:
+            yield await f.read()  # pragma: no cover
+    except OSError:
+        print("We didn't re-raise, wubba lubba dub dub!")
+
+
+@app_reraises.get("/me")
+def get_me_reraises(username: str = Depends(get_username_reraises)):
     return username  # pragma: no cover
 
 
-client = TestClient(app)
+@app_doesnt_reraise.get("/me")
+def get_me_doesnt_reraise(username: str = Depends(get_username_doesnt_reraise)):
+    return username  # pragma: no cover
+
+
+client_reraises = TestClient(app_reraises)
+client_doesnt_reraise = TestClient(app_doesnt_reraise)
 
 
 @pytest.mark.anyio
-def test_runtime_error():
+def test_runtime_error_reraises():
     with pytest.raises(RuntimeError) as exc_info:
-        client.get("/me")
-    assert "File something something" in exc_info.value.args[0]
+        client_reraises.get("/me")
+    assert str(exc_info.value) == "File something something, wubba lubba dub dub!"
+
+
+@pytest.mark.anyio
+def test_runtime_error_doesnt_reraise():
+    with pytest.raises(RuntimeError) as exc_info:
+        client_doesnt_reraise.get("/me")
+    assert str(exc_info.value).startswith(
+        "Dependency get_username_doesnt_reraise raised: generator didn't yield. "
+        "There's a high chance that this is a dependency with yield that catches an "
+        "exception using except, but doesn't raise the exception again."
+    )