Taking temporary charge of the side for the second time in 14 months following Neil Warnock's departure, Redfearn says he is taking things "game by game".
He told the club's official website: "I was asked by Shaun Harvey after the Derby game on Monday if I'd step up again and it's very much a game-by-game situation.
"I'm an employee of the club and I'm here to help. It's a needs-must situation and I will take care of things until the new man comes in. I'm not putting myself forward for the job, but I'm prepared to put my head above the parapet and help out.
"There's a lot of good people at this club and it's important someone is there to take care of it."
Redfearn was previously appointed caretaker manager after the sacking of Simon Grayson in February last year.
He presided over the first team for four matches, recording victories against Bristol City and Doncaster either side of defeats to Brighton and Coventry.