According to Sky Sports, Rangers boss Mark Warburton and Birmingham City manager Gary Rowett are wanted by Fulham.
The Cottagers parted ways with Kit Symons last week, and they have drawn up a shortlist of names they want to take over at Craven Cottage.
Rowett and Warburton are said to figure prominently on their wishlist, with Nigel Pearson, Paul Lambert and Slavisa Jokanovic also under consideration.
Fulham feel that Warburton would be a great appointment, after his success with Brentford and more recently at Rangers.
Warburton has led Rangers to 12 wins in their opening 13 Scottish Championship matches since taking charge in the summer.
Rowett, meanwhile, has made huge progress with Birmingham City, since taking charge midway through the 2014/15 campaign.
The Blues were languishing in the relegation zone when Rowett inherited the reins, but he guided them to safety, and they are now in the play-off places this season.
Fulham are desperate to return to the Premier League, but they currently sit in 12th place in the Championship table, meaning whoever takes charge will be under pressure to deliver results quickly.