diff --git a/audmodel/core/api.py b/audmodel/core/api.py
index 8ce3245..dacc9b4 100644
--- a/audmodel/core/api.py
+++ b/audmodel/core/api.py
@@ -1068,6 +1068,41 @@ def update_meta(
     return meta_backend
 
 
+def _url(
+    backend_interface: audbackend.interface.Base,
+    path: str,
+) -> str:
+    r"""Convert a backend path into a URL.
+
+    Depending on the underlying backend
+    of the given backend interface,
+    the path on the backend
+    is turned into a URL
+    pointing to the corresponding file.
+
+    Args:
+        backend_interface: backend interface
+        path: path on the backend, including version
+
+    Returns:
+        URL to the file on the backend
+
+    """
+    backend = backend_interface.backend
+    if isinstance(backend, audbackend.backend.FileSystem):
+        path = backend_interface.sep.join([backend._root, path])
+    elif isinstance(backend, audbackend.backend.Minio):
+        scheme = "https" if backend._client._base_url.is_https else "http"
+        path = backend_interface.sep.join(
+            [
+                f"{scheme}://{backend.host}",
+                backend.repository,
+                backend.path(path),
+            ]
+        )
+    return path
+
+
 def url(
     uid: str,
     *,
@@ -1133,10 +1168,7 @@ def url(
             f"'type' has to be one of 'model', 'header', 'meta', not '{type}'"
         )
     path = backend_interface._path_with_version(path, version)
-    # Check for underlying backend of backend interface
-    if isinstance(backend_interface.backend, audbackend.backend.FileSystem):
-        path = backend_interface.sep.join([backend_interface.backend._root, path])
-    return path
+    return _url(backend_interface, path)
 
 
 def version(
diff --git a/tests/test_api.py b/tests/test_api.py
index 9027966..d52b94d 100644
--- a/tests/test_api.py
+++ b/tests/test_api.py
@@ -8,6 +8,8 @@
 import audeer
 
 import audmodel
+import audmodel.core.api
+import audmodel.core.define as define
 
 
 audmodel.config.CACHE_ROOT = pytest.CACHE_ROOT
@@ -284,11 +286,49 @@ def test_update_meta():
 
 
 def test_url():
+    uid = audmodel.uid(
+        pytest.NAME,
+        pytest.PARAMS,
+        "1.0.0",
+        subgroup=SUBGROUP,
+    )
+
+    # Wrong type
     with pytest.raises(ValueError):
-        uid = audmodel.uid(
-            pytest.NAME,
-            pytest.PARAMS,
-            "1.0.0",
-            subgroup=SUBGROUP,
-        )
         audmodel.url(uid, type="something")
+
+    # File-system backend
+    # (the test models are published to a file-system repository)
+    for type, ext in [
+        ("model", "zip"),
+        ("header", "header.yaml"),
+        ("meta", "meta.yaml"),
+    ]:
+        path = audmodel.url(uid, type=type)
+        assert os.path.exists(path)
+        assert path.startswith(audeer.path(pytest.HOST, pytest.REPOSITORIES[0].name))
+        assert os.path.basename(path) == f"{uid}.{ext}"
+
+
+def test_url_minio():
+    """URL construction for the Minio/S3 backend.
+
+    The Minio backend is not tested against a running server,
+    so we verify the URL construction
+    of the helper function directly.
+
+    """
+    host = "s3.dualstack.eu-north-1.amazonaws.com"
+    repository = "audmodel-public"
+    repository_object = audmodel.Repository(repository, host, "s3")
+    backend_interface = repository_object.create_backend_interface()
+
+    path = backend_interface.join(
+        "/", define.UID_FOLDER, f"d4e9c65b.{define.HEADER_EXT}"
+    )
+    path = backend_interface._path_with_version(path, "3.0.0")
+
+    url = audmodel.core.api._url(backend_interface, path)
+    assert url == (
+        f"https://{host}/{repository}/_uid/d4e9c65b/3.0.0/d4e9c65b-3.0.0.header.yaml"
+    )