Tunnicliffe, along with Larnell Cole, signed for Fulham on deadline day from Manchester United.
He had previously spent the first part of the season on loan at Ipswich, and was hugely impressive for Mick McCarthy's men.
Sky Sports now understands that McCarthy is hoping to lure the England youth international back to Portman Road.
However, fellow promotion chasers Wigan are also keen to talk to the 21-year-old.
Wigan have just lost Ben Watson to a broken leg and Tunnicliffe has been targeted by Uwe Rosler as the man he wants to bolster his midfield.
Tunnicliffe has featured twice for Fulham since signing, starting the loss at Liverpool and also playing at former club United and helping the Cottagers to a 2-2 draw.
But since Rene Meulensteen left the club he has not been involved and although he is believed to figure in Fulham's long-term plans, they are happy for him to gain more playing time in the remainder of the season.