diff --git a/openapi_python_client/parser/openapi.py b/openapi_python_client/parser/openapi.py
index c04cd1e8b..453e9c77a 100644
--- a/openapi_python_client/parser/openapi.py
+++ b/openapi_python_client/parser/openapi.py
@@ -26,7 +26,7 @@
 from .properties.schemas import parameter_from_reference
 from .responses import Response, response_from_data
 
-_PATH_PARAM_REGEX = re.compile("{([a-zA-Z_][a-zA-Z0-9_]*)}")
+_PATH_PARAM_REGEX = re.compile("{([a-zA-Z_-][a-zA-Z0-9_-]*)}")
 
 
 def import_string_from_class(class_: Class, prefix: str = "") -> str: