diff --git a/stdlib/@tests/stubtest_allowlists/py313.txt b/stdlib/@tests/stubtest_allowlists/py313.txt
index 803e3f9c5..fee13e549 100644
--- a/stdlib/@tests/stubtest_allowlists/py313.txt
+++ b/stdlib/@tests/stubtest_allowlists/py313.txt
@@ -105,7 +105,6 @@ tkinter.PhotoImage.write
 tkinter.PhotoImage.zoom
 tkinter.Text.count
 tkinter.Wm.wm_attributes
-trace.CoverageResults.write_results
 types.MappingProxyType.get
 
 # ======================================
diff --git a/stdlib/trace.pyi b/stdlib/trace.pyi
index d32647a55..04390f119 100644
--- a/stdlib/trace.pyi
+++ b/stdlib/trace.pyi
@@ -27,7 +27,18 @@ class CoverageResults:
         outfile: StrPath | None = None,
     ) -> None: ...  # undocumented
     def update(self, other: CoverageResults) -> None: ...
-    def write_results(self, show_missing: bool = True, summary: bool = False, coverdir: StrPath | None = None) -> None: ...
+    if sys.version_info >= (3, 13):
+        def write_results(
+            self,
+            show_missing: bool = True,
+            summary: bool = False,
+            coverdir: StrPath | None = None,
+            *,
+            ignore_missing_files: bool = False,
+        ) -> None: ...
+    else:
+        def write_results(self, show_missing: bool = True, summary: bool = False, coverdir: StrPath | None = None) -> None: ...
+
     def write_results_file(
         self, path: StrPath, lines: Sequence[str], lnotab: Any, lines_hit: Mapping[int, int], encoding: str | None = None
     ) -> tuple[int, int]: ...