Do not amend. You will be filing a zero change in tax and the IRs has a good chance of screwing it up as it is not a tax issue, but a SS earnings isuue.
Wait a year until your clients earnings are posted to the SS files.
Then, there is a procedure on the SS website for correcting them.
PDF] Request For Correction of Earnings Record - Social Security
https://www.ssa.gov/forms/ssa-7008.pdf
SOCIAL SECURITY ADMINISTRATION ... If you disagree with wages reported to your earnings record, complete Item 7. ... If you do not have self-employment income that is incorrect go on to item 10 for any remarks, and then complete Item 11