Swansea City manager Bob Bradley's position is already said to be under threat as the club launched a review into its poor performance in the Premier League this season.
The American took over from Francesco Guidolin at the start of October but has picked up just five points from a possible 21 to leave the Welsh side rock bottom of the table.
According to The Telegraph, the Swans' American owners Stephen Kaplan and Jason Levien are "keen for their compatriot to succeed" but may decide to part ways with Bradley if results do not improve this side of Christmas.
Bradley's frequent changes to his starting XI "have given the impression that he does not yet have a clear plan", the newspaper says, while his performance in training sessions "is yet to provide much encouragement".
The Swans face a crucial six-pointer against Sunderland this weekend, followed by trips to West Bromwich Albion and Middlesbrough in the run-up to Christmas.