diff --git a/Lib/shutil.py b/Lib/shutil.py
index b0a53db..4c6fdd7 100644
--- a/Lib/shutil.py
+++ b/Lib/shutil.py
@@ -203,6 +203,9 @@
     mode = stat.S_IMODE(st.st_mode)
     lookup("utime")(dst, ns=(st.st_atime_ns, st.st_mtime_ns),
         follow_symlinks=follow)
+    # We must copy extended attributes before the file is (potentially)
+    # chmod()'ed read-only, otherwise setxattr() will error with -EACCES.
+    _copyxattr(src, dst, follow_symlinks=follow)
     try:
         lookup("chmod")(dst, mode, follow_symlinks=follow)
     except NotImplementedError:
@@ -226,7 +229,6 @@
                     break
             else:
                 raise
-    _copyxattr(src, dst, follow_symlinks=follow)
 
 def copy(src, dst, *, follow_symlinks=True):
     """Copy data and mode bits ("cp src dst"). Return the file's destination.