The T&T midfielder, who scored at the weekend and joined Sunderland from Sydney FC in the summer, has improved his performances for Sunderland in recent weeks.
"(Mariners coach) Lawrie McKinna is a champion bloke and I'd do anything to help him if he rang me about it," board member and businessman John Singleton told the Australian press.
"If Lawrie thought that it was a good idea (to sign Yorke), yeah, I'd back it. I think it would be great and he'd certainly put bums on seats.
"Lawrie does a great job with the Mariners and I would listen to any proposal he's got that's going to help his team."