diff --git a/tornado/test/web_test.py b/tornado/test/web_test.py
index e004cbb68..19adce2fc 100644
--- a/tornado/test/web_test.py
+++ b/tornado/test/web_test.py
@@ -2866,6 +2866,35 @@ def validate(sig):
             )
         )
 
+    def test_malformed_timestamp(self):
+        # A structurally valid v2 value carrying a correct signature but a
+        # non-decimal timestamp field must be rejected with None rather than
+        # raising ValueError from int(timestamp_bytes) after the signature has
+        # already verified.
+        from tornado.web import _create_signature_v2
+        from tornado.escape import utf8
+
+        def field(value):
+            return str(len(value)).encode("ascii") + b":" + value
+
+        name = "key"
+        prefix = b"|".join(
+            [
+                b"2",
+                field(b"0"),
+                field(b"a"),  # non-decimal timestamp
+                field(utf8(name)),
+                field(b""),
+                b"",
+            ]
+        )
+        cookie = prefix + _create_signature_v2(SignedValueTest.SECRET, prefix)
+        self.assertIsNone(
+            decode_signed_value(
+                SignedValueTest.SECRET, name, cookie, clock=self.present
+            )
+        )
+
     def test_non_ascii(self):
         value = b"\xe9"
         signed = create_signed_value(
diff --git a/tornado/web.py b/tornado/web.py
index ad32165b1..fc6b11034 100644
--- a/tornado/web.py
+++ b/tornado/web.py
@@ -3767,7 +3767,13 @@ def _decode_signed_value_v2(
         return None
     if name_field != utf8(name):
         return None
-    timestamp = int(timestamp_bytes)
+    try:
+        timestamp = int(timestamp_bytes)
+    except ValueError:
+        # A malformed (non-decimal) timestamp field means an invalid signed
+        # value; reject it with None rather than raising, consistent with the
+        # rest of this function and get_signed_cookie's documented behavior.
+        return None
     if timestamp < clock() - max_age_days * 86400:
         # The signature has expired.
         return None