diff --git a/pandas/tests/io/excel/test_readers.py b/pandas/tests/io/excel/test_readers.py
index abbdb77efad0e..caa2da1b6123b 100644
--- a/pandas/tests/io/excel/test_readers.py
+++ b/pandas/tests/io/excel/test_readers.py
@@ -14,6 +14,8 @@
 import numpy as np
 import pytest
 
+from pandas._config import using_pyarrow_string_dtype
+
 import pandas.util._test_decorators as td
 
 import pandas as pd
@@ -637,6 +639,9 @@ def test_dtype_backend_and_dtype(self, read_ext):
             )
         tm.assert_frame_equal(result, df)
 
+    @pytest.mark.xfail(
+        using_pyarrow_string_dtype(), reason="infer_string takes precedence"
+    )
     def test_dtype_backend_string(self, read_ext, string_storage):
         # GH#36712
         if read_ext in (".xlsb", ".xls"):
diff --git a/pandas/tests/io/excel/test_writers.py b/pandas/tests/io/excel/test_writers.py
index 22cd0621fd4c4..507d7ed4bf9d0 100644
--- a/pandas/tests/io/excel/test_writers.py
+++ b/pandas/tests/io/excel/test_writers.py
@@ -709,7 +709,7 @@ def test_excel_date_datetime_format(self, ext, path):
         # we need to use df_expected to check the result.
         tm.assert_frame_equal(rs2, df_expected)
 
-    def test_to_excel_interval_no_labels(self, path):
+    def test_to_excel_interval_no_labels(self, path, using_infer_string):
         # see gh-19242
         #
         # Test writing Interval without labels.
@@ -719,7 +719,9 @@ def test_to_excel_interval_no_labels(self, path):
         expected = df.copy()
 
         df["new"] = pd.cut(df[0], 10)
-        expected["new"] = pd.cut(expected[0], 10).astype(str)
+        expected["new"] = pd.cut(expected[0], 10).astype(
+            str if not using_infer_string else "string[pyarrow_numpy]"
+        )
 
         df.to_excel(path, sheet_name="test1")
         with ExcelFile(path) as reader:
@@ -1213,10 +1215,9 @@ def test_render_as_column_name(self, path):
 
     def test_true_and_false_value_options(self, path):
         # see gh-13347
-        df = DataFrame([["foo", "bar"]], columns=["col1", "col2"])
-        msg = "Downcasting behavior in `replace`"
-        with tm.assert_produces_warning(FutureWarning, match=msg):
-            expected = df.replace({"foo": True, "bar": False})
+        df = DataFrame([["foo", "bar"]], columns=["col1", "col2"], dtype=object)
+        with option_context("future.no_silent_downcasting", True):
+            expected = df.replace({"foo": True, "bar": False}).astype("bool")
 
         df.to_excel(path)
         read_frame = pd.read_excel(