England’s final World Cup squad must be submitted by Saturday, 30 May.
However, the Three Lions have no friendlies lined up before then, so Gibbs-White has the remainder of the season at club level to prove his worth to Tuchel.
Forest have Premier League games against Newcastle, Manchester United and Bournemouth remaining, and at least one more fixture in the Europa League as they take on Aston Villa in the semi-finals of the Europa League on Thursday.
If Gibbs-White can play a key role in Forest winning a European trophy, then that will surely boost his international hopes.
However, he was taken off 20 minutes after coming on against Chelsea following a clash of heads with Blues goalkeeper Robert Sanchez that left him with a nasty wound which required stitches.
He now faces a race against time to be fit for the semi-final second leg against Villa – with Forest leading 1-0 on aggregate.
“I don’t know if it is a bit late for him to get a call-up now but in my eyes he deserves it,” Perch added.
“All he can do is perform for his club – and that is what he is doing – and Tuchel can’t ignore him for too much longer.”