diff --git a/scrapy/http/headers.py b/scrapy/http/headers.py
index 1a2b99b0a..a9471d721 100644
--- a/scrapy/http/headers.py
+++ b/scrapy/http/headers.py
@@ -1,6 +1,7 @@
 from w3lib.http import headers_dict_to_raw
 from scrapy.utils.datatypes import CaselessDict
 from scrapy.utils.python import to_unicode
+from collections.abc import Mapping
 
 
 class Headers(CaselessDict):
@@ -10,6 +11,13 @@ class Headers(CaselessDict):
         self.encoding = encoding
         super().__init__(seq)
 
+    def update(self, seq):
+        seq = seq.items() if isinstance(seq, Mapping) else seq
+        iseq = {}
+        for k, v in seq:
+            iseq.setdefault(self.normkey(k), []).extend(self.normvalue(v))
+        super().update(iseq)
+
     def normkey(self, key):
         """Normalize key to bytes"""
         return self._tobytes(key.title())
@@ -86,4 +94,5 @@ class Headers(CaselessDict):
 
     def __copy__(self):
         return self.__class__(self)
+
     copy = __copy__