diff --git a/src/flask_caching/__init__.py b/src/flask_caching/__init__.py
index 1dd424f..73b1620 100644
--- a/src/flask_caching/__init__.py
+++ b/src/flask_caching/__init__.py
@@ -26,6 +26,7 @@
 
 from flask import current_app
 from flask import Flask
+from flask import g
 from flask import request
 from flask import Response
 from flask import url_for
@@ -414,13 +415,15 @@ def decorated_function(*args, **kwargs):
                 if found and self.app.debug:
                     logger.info(f"Cache used for key: {cache_key}")
                 if response_hit_indication:
+                    g.flask_caching_hit_cache = found
 
                     def apply_caching(response):
-                        if found:
-                            response.headers["hit_cache"] = found
+                        if g.get("flask_caching_hit_cache"):
+                            response.headers["hit_cache"] = g.flask_caching_hit_cache
                         return response
 
-                    self.app.after_request_funcs[None].append(apply_caching)
+                    if "apply_caching" not in self.app.after_request_funcs[None]:
+                        self.app.after_request_funcs[None].append(apply_caching)
 
                 if not found:
                     rv = self._call_fn(f, *args, **kwargs)