diff --git a/src/ocrmypdf/_graft.py b/src/ocrmypdf/_graft.py
index ba4b050f..7b9a9a55 100644
--- a/src/ocrmypdf/_graft.py
+++ b/src/ocrmypdf/_graft.py
@@ -47,7 +47,8 @@ def strip_invisible_text(pdf, page):
     render_mode = 0
     text_objects = []
 
-    page.page_contents_coalesce()
+    rich_page = pikepdf.Page(page)
+    rich_page.contents_coalesce()
     for operands, operator in pikepdf.parse_content_stream(page, ''):
         if not in_text_obj:
             if operator == pikepdf.Operator('BT'):
@@ -307,7 +308,14 @@ class OcrGrafter:
             if strip_old_text:
                 strip_invisible_text(self.pdf_base, base_page)
 
-            base_page.page_contents_add(new_text_layer, prepend=True)
+            if hasattr(pikepdf.Page, 'contents_add'):
+                # pikepdf >= 2.14 adds this method and deprecates the one below
+                pikepdf.Page(base_page).contents_add(new_text_layer, prepend=True)
+            else:
+                # pikepdf < 2.14
+                base_page.page_contents_add(
+                    new_text_layer, prepend=True
+                )  # pragma: no cover
 
             _update_resources(
                 obj=base_page, font=font, font_key=font_key, procset=procset