diff --git a/scrapy/core/scraper.py b/scrapy/core/scraper.py
index e756d27eb..466ce656d 100644
--- a/scrapy/core/scraper.py
+++ b/scrapy/core/scraper.py
@@ -125,7 +125,7 @@ class Scraper:
 
     def _check_deprecated_itemproc_method(self, method: str) -> None:
         itemproc_cls = type(self.itemproc)
-        if not hasattr(self.itemproc, "process_item_async"):
+        if not hasattr(self.itemproc, f"{method}_async"):
             warnings.warn(
                 f"{global_object_name(itemproc_cls)} doesn't define a {method}_async() method,"
                 f" this is deprecated and the method will be required in future Scrapy versions.",