Press reports on Sunday afternoon claim that Hudson is a target for Felix Magath at Fulham.
Hudson was not in City's matchday squad at Craven Cottage yesterday. He finds himself down the pecking order behind Sean Morrison, Matt Connolly and Juan Cala at the moment and with £5m defender Bruno Manga set to join Cardiff Hudson will be even further away from the first team.
City also have Ben Turner to return from injury.
Hudson, now 32, led Cardiff to the Championship title in 2013 but has only played in eight senior games in the last 12 months.
One of Hudson's more memorable moments came in April 2012 when he scored this goal v Derby.