Terry reaches 299 games as Blues captain if he plays this weekend, beating Wise's 298 match total.
The record is still held by Ron 'Chopper' Harris, who captained the Blues on 324 occasions, but despite the possibility of being knocked from second place, Wise couldn't be happier.
"It's fantastic," Wise told chelseafc.com. "People are always at some stage going to break your records and achieve something and if there's one person I'd like to see do it, it would be John.
"He has come all the way through and done fantastically well, I'm chuffed to bits for him. He is a true Blue and a boy who always wanted to achieve a lot as a young kid.
"All those times he spent out there on his own, training and doing what he could to make himself better, have paid off, so well done to him."