diff-update-on-the-fly

diff-update-on-the-fly is a variable defined in `diff-mode.el'.
Its value is

t

Documentation:
Non-nil means hunk headers are kept up-to-date on-the-fly.
When editing a diff file, the line numbers in the hunk headers
need to be kept consistent with the actual diff. This can
either be done on the fly (but this sometimes interacts poorly with the
undo mechanism) or whenever the file is written (can be slow
when editing big diffs).

You can customize this variable.