Ramsay has been with the Red Devils since 2021, when he joined during Ole Gunnar Solskjaer’s tenure. He formerly worked at Shrewsbury Town and Chelsea, and he spent time with the Wales national team when at Manchester United.
Swansea are currently looking for a new manager after parting ways with former Barnsley boss Michael Duff. Alan Sheehan, a former Leeds United and Bradford City defender, is presently serving as interim manager.
Sheehan helped to steady the ship after being appointed as interim head coach, but the Swans were soundly defeated by in-form promotion contenders Southampton in their last game.
Sheehan is still the 1/1 favourite to earn the role, according to BetVictor. He is put 7/4 ahead of Notts County manager Luke Williams and 5/1 ahead of Ramsay.
Tottenham Hotspur coach Chris Davies and former Arsenal star Giovanni van Bronckhorst are among the outside candidates.
Swansea City are presently 17th in the Championship table, eight points clear of the drop zone.