diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index 75fb82b1e285f..39ccf904858d5 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -80,7 +80,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         pandas.Series.dt.ceil\
         pandas.Series.dt.month_name\
         pandas.Series.dt.day_name\
-        pandas.Series.str.wrap\
         pandas.Series.cat.rename_categories\
         pandas.Series.cat.reorder_categories\
         pandas.Series.cat.add_categories\
diff --git a/pandas/core/strings/accessor.py b/pandas/core/strings/accessor.py
index 93c8bc4a97cda..fe68107a953bb 100644
--- a/pandas/core/strings/accessor.py
+++ b/pandas/core/strings/accessor.py
@@ -2232,19 +2232,37 @@ def removesuffix(self, suffix: str):
         return self._wrap_result(result)
 
     @forbid_nonstring_types(["bytes"])
-    def wrap(self, width: int, **kwargs):
+    def wrap(
+        self,
+        width: int,
+        expand_tabs: bool = True,
+        tabsize: int = 8,
+        replace_whitespace: bool = True,
+        drop_whitespace: bool = True,
+        initial_indent: str = "",
+        subsequent_indent: str = "",
+        fix_sentence_endings: bool = False,
+        break_long_words: bool = True,
+        break_on_hyphens: bool = True,
+        max_lines: int | None = None,
+        placeholder: str = " [...]",
+    ):
         r"""
         Wrap strings in Series/Index at specified line width.
 
         This method has the same keyword parameters and defaults as
-        :class:`textwrap.TextWrapper`.
+            :class:`textwrap.TextWrapper`.
 
         Parameters
         ----------
-        width : int
+        width : int, optional
             Maximum line width.
         expand_tabs : bool, optional
             If True, tab characters will be expanded to spaces (default: True).
+        tabsize : int, optional
+            If expand_tabs is true, then all tab characters in text will be
+            expanded to zero or more spaces, depending on the current column
+            and the given tab size (default: 8).
         replace_whitespace : bool, optional
             If True, each whitespace character (as defined by string.whitespace)
             remaining after tab expansion will be replaced by a single space
@@ -2252,6 +2270,28 @@ def wrap(self, width: int, **kwargs):
         drop_whitespace : bool, optional
             If True, whitespace that, after wrapping, happens to end up at the
             beginning or end of a line is dropped (default: True).
+        initial_indent : str, optional
+            String that will be prepended to the first line of wrapped output.
+            Counts towards the length of the first line. The empty string is
+            not indented (default: '').
+        subsequent_indent : str, optional
+            String that will be prepended to all lines of wrapped output except
+            the first. Counts towards the length of each line except the first
+            (default: '').
+        fix_sentence_endings : bool, optional
+            If true, TextWrapper attempts to detect sentence endings and ensure
+            that sentences are always separated by exactly two spaces. This is
+            generally desired for text in a monospaced font. However, the sentence
+            detection algorithm is imperfect: it assumes that a sentence ending
+            consists of a lowercase letter followed by one of '.', '!', or '?',
+            possibly followed by one of '"' or "'", followed by a space. One
+            problem with this algorithm is that it is unable to detect the
+            difference between “Dr.” in `[...] Dr. Frankenstein's monster [...]`
+            and “Spot.” in `[...] See Spot. See Spot run [...]`
+            Since the sentence detection algorithm relies on string.lowercase
+            for the definition of “lowercase letter”, and a convention of using
+            two spaces after a period to separate sentences on the same line,
+            it is specific to English-language texts (default: False).
         break_long_words : bool, optional
             If True, then words longer than width will be broken in order to ensure
             that no lines are longer than width. If it is false, long words will
@@ -2262,6 +2302,12 @@ def wrap(self, width: int, **kwargs):
             only whitespaces will be considered as potentially good places for line
             breaks, but you need to set break_long_words to false if you want truly
             insecable words (default: True).
+        max_lines : int, optional
+            If not None, then the output will contain at most max_lines lines, with
+            placeholder appearing at the end of the output (default: None).
+        placeholder : str, optional
+            String that will appear at the end of the output text if it has been
+            truncated (default: ' [...]').
 
         Returns
         -------
@@ -2287,7 +2333,20 @@ def wrap(self, width: int, **kwargs):
         1    another line\nto be\nwrapped
         dtype: object
         """
-        result = self._data.array._str_wrap(width, **kwargs)
+        result = self._data.array._str_wrap(
+            width=width,
+            expand_tabs=expand_tabs,
+            tabsize=tabsize,
+            replace_whitespace=replace_whitespace,
+            drop_whitespace=drop_whitespace,
+            initial_indent=initial_indent,
+            subsequent_indent=subsequent_indent,
+            fix_sentence_endings=fix_sentence_endings,
+            break_long_words=break_long_words,
+            break_on_hyphens=break_on_hyphens,
+            max_lines=max_lines,
+            placeholder=placeholder,
+        )
         return self._wrap_result(result)
 
     @forbid_nonstring_types(["bytes"])