Public Service Loan Forgiveness Payment Completion Fairness Act or the PSLF Payment Completion Fairness Act This bill removes the requirement that a borrower must be employed in a public service job at the time of loan forgiveness under the Public Service Loan Forgiveness (PSLF) program. Under the current PSLF program, the Department of Education must cancel the balance of interest and principal due on a borrower's Federal Direct Loans after the borrower makes 120 monthly loan payments while employed in a public service job and, at the time of loan forgiveness, the borrower is employed in a public service job. This bill removes the requirement that the borrower must be working in a public service job at the time of loan forgiveness.