The England under-21 international made a fine start to the season, shining in the opening weekend win at Newcastle, but has since fallen down the pecking order, with Serge Aurier and Kieran Trippier preferred.
While Tottenham have been flying, Swansea currently sit 19th in the table and Paul Clement is likely to go into the market in January in order to boost his side's survival hopes.
Kyle Naughton and Angel Rangel are the Swans' current right-backs and Clement is keen to add competition.
Reports in England say Walker-Peters is his preferred option and a loan deal could be on the cards, with his contract at Spurs running until the summer of 2020.
Mauricio Pochettino is believed to rate the youngster highly and is thought to see Swansea as a decent option if the club decide to send him out on loan.