Leeds have joined Cardiff in the chase to secure Manchester United striker Alan Smith on loan.
United have already accepted an offer from Cardiff but Smith's former club have now expressed an interest.
"We have only just found out about his availability, but there's a possibility of a deal," said Leeds boss Wise.
United manager Sir Alex Ferguson confirmed: "The fact we are no longer in the Carling Cup, I thought a short-term loan would be ideal."
Smith, 26, joined United for £7m after Leeds were relegated from the Premiership in 2004 but he suffered a broken leg in February and has not played regularly since returning.
United boss Sir Alex Ferguson said: "I think he has spoken to someone at Cardiff but he is not certain about whether to take it or not.
"He really needs football and reserve team football is really for the youth team and doesn't present the right challenge for an experienced player like Alan.
With Ole Gunnar Solskjaer injured, United are already short of cover for Wayne Rooney and Louis Saha, Ferguson admitted: "There is a bit of risk about sending him out but in the present situation he needs games quickly."
Cardiff's move, confirmed by the club earlier on Friday, is thought to have been instigated by chairman Peter Ridsdale, formerly Smith's chairman at Leeds.
However, the Bluebirds' move seems to have alerted Leeds to Smith's availability.
"It would be a boost for the team and also for the fans of the club," said Wise.
"He has done it at all levels, but I'm sure there will be 20 other clubs also interested in him. We'll have to wait and see."