diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index a7535835f4b84..859a18e48b9d1 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -10082,11 +10082,7 @@ def update(
 
         index_intersection = other.index.intersection(self.index)
         if index_intersection.empty:
-            raise ValueError(
-                "Update not allowed when the index on `other` has no intersection "
-                "with this dataframe."
-            )
-
+            return
         other = other.reindex(index_intersection)
         this_data = self.loc[index_intersection]
 
diff --git a/pandas/tests/frame/methods/test_update.py b/pandas/tests/frame/methods/test_update.py
index 81b25c0ad982e..0987745c94a21 100644
--- a/pandas/tests/frame/methods/test_update.py
+++ b/pandas/tests/frame/methods/test_update.py
@@ -215,12 +215,13 @@ def test_update_raises_on_duplicate_argument_index(self):
         with pytest.raises(ValueError, match="duplicate index"):
             df.update(other)
 
-    def test_update_raises_without_intersection(self):
-        # GH#55509
-        df = DataFrame({"a": [1]}, index=[1])
+    def test_update_without_intersection(self):
+        # GH#63452
+        orig = DataFrame({"a": [1]}, index=[1])
+        df = orig.copy()
         other = DataFrame({"a": [2]}, index=[2])
-        with pytest.raises(ValueError, match="no intersection"):
-            df.update(other)
+        df.update(other)
+        tm.assert_frame_equal(df, orig)
 
     def test_update_on_duplicate_frame_unique_argument_index(self):
         # GH#55509