diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index f1aeda9cbdc9d..e9f4ee1f391a2 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -161,7 +161,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         -i "pandas.Series.str.zfill RT03" \
         -i "pandas.Series.struct.dtypes SA01" \
         -i "pandas.Series.to_markdown SA01" \
-        -i "pandas.Series.update PR07,SA01" \
         -i "pandas.Timedelta.asm8 SA01" \
         -i "pandas.Timedelta.ceil SA01" \
         -i "pandas.Timedelta.components SA01" \
diff --git a/pandas/core/series.py b/pandas/core/series.py
index a197886748bce..5c35c6c0d6d23 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -3211,6 +3211,13 @@ def update(self, other: Series | Sequence | Mapping) -> None:
         Parameters
         ----------
         other : Series, or object coercible into Series
+            Other Series that provides values to update the current Series.
+
+        See Also
+        --------
+        Series.combine : Perform element-wise operation on two Series
+            using a given function.
+        Series.transform: Modify a Series using a function.
 
         Examples
         --------