It has been suggested that Norwich are lining up a move for Harrison after losing established No.1 John Ruddy for several months through injury.
The 26-year-old joined Bidvest Wits earlier this year and he has impressed during his time at the club.
Harrison has played down the links with Norwich and insists he has not spoken to anyone about a possible move to Carrow Road.
"I can't confirm or deny the rumours," Harrison told Kickoff.com. "If there is any truth I'm sure the clubs will deal with it."