Harper’s 20-year association with Newcastle ended last month, when his contract at St James’s Park expired.
Although devoted to NUFC, he admitted he knocked back offers during his career because he didn't want to uproot his family.
However, the 38-year-old is keen to play on for two more seasons – and Steve Bruce wants to take him to the KC Stadium.
Bruce is looking to strengthen the club’s goalkeeping department.
And the former Sunderland manager believes Harper’s experience will be invaluable to his team, which was promoted to the Premier League in May.
Speaking earlier this week, Harper said: “I’m still looking for a club, and hopefully the phone will ring.
“I’m only 38, and I’d like to think I’ve got a year or two left in me.”
Harper, signed from non-league club Seaham Red Star in 1993, made 199 appearances for United.
The Easington-born player has arranged a charity testimonial at St James’s Park, pencilled in for September 11, featuring former Newcastle and AC Milan players.
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