Pickford is currently on loan at Preston North End, however the Black Cats are beginning to consider recalling the 21-year-old.
With Vito Mannone’s future up in the air, Sunderland may have to bring Pickford back to the Stadium of Light, and Allardyce is very excited about the stopper’s potential.
"He’s a Sunderland boy and the fact he’s got so many games under his belt, means that bringing him back here might be an option that we consider," Allardyce said.
“I spoke to Simon [Grayson, the Preston manager] on Sunday when he received an award at the North-West Football Writers’ dinner, and he was telling me that Jordan had pulled off a couple of great saves and kept a clean sheet at Burnley to get them a victory in a local derby.
“The lad is looking like he is going to be a major asset to this club, but the timing on bringing him back is something we’ll look at later.”
Pickford has been in remarkable form during his spell at Preston, and he has helped the side to build one of the best defensive records in the Championship.
North End have let in just 16 goals in their 19 league matches so far, and Pickford has been a mainstay in their team.
The England youth international was also in impressive while with Bradford City in League One last season.
At the moment, Costel Pantilimon is Sunderland’s first choice goalkeeper, and he is well regarded on Wearside, but his place in the team could come under pressure if Pickford does return and continues to progress at his current pace.