The Englishman confirms he is yet to be contacted by a representative from Norwich.
"I can't confirm or deny the rumours," the 26-year-old says. "If there is any truth I'm sure the clubs will deal with it."
Norwich goalkeeper John Ruddy has been ruled out for three to four months with a thigh injury, and the club reportedly fancy Harrison as the man to provide competition for second-choice, Mark Bunn.
Because Harrison is English, Norwich will not have to worry about a work permit.
But the goalies says he is concentrating on the job at hand for the time being.
"I am not concerning myself with it. I just want to concentrate on my game and doing well for Wits and that continues with Tuks [University of Pretoria] on Wednesday," he says.
Harrison has started the last two games for the Clever Boys, including a 2-0 loss to Orlando Pirates, and he is gunning to keep the gloves this week.
"I did play in the 2-0 loss to Pirates and despite the scoreline I felt I did reasonably well.
"I will keep doing the things I have been already, keeping my head down, working hard, doing extra and keeping a positive attitude – and most importantly trying to work on any shortfalls," he says.