diff --git a/fastapi/utils.py b/fastapi/utils.py
index c9022fbc3..89bf861a5 100644
--- a/fastapi/utils.py
+++ b/fastapi/utils.py
@@ -67,7 +67,7 @@ def get_model_definitions(
 
 
 def get_path_param_names(path: str) -> Set[str]:
-    return {item.strip("{}") for item in re.findall("{[^}]*}", path)}
+    return set(re.findall("{(.*?)}", path))
 
 
 def create_response_field(