And Boro boss Tony Pulis revealed that no club has yet met Traore's buyout clause, believed to be £18million.
Traore is on Wolves' shortlist as they eye up a couple more deals before the August 9 transfer deadline.
Huddersfield are also said to be interested in the 22-year-old pacey winger.
It's understood Wolves haven't yet placed a bid but are keen to assess the extent of Traore's injury.
Pulis said when asked if his clause had been met: "No, not at the moment.
"I think everybody, especially me, wants him to be here.
"But we have to do what we have to do, he has a clause, I think everybody knows he has a clause in his contract and if that money is reached it's almost taken out of the club's hands.
"But I've got great respect for the boy and everybody here is hoping and praying he stays.”
And of Traore's injury the former Albion boss added: "We don't expect him to be out too long.
"His shoulder popped out so - I can remember going back to Ricardo Fuller at Stoke where his shoulder popped out and he played the next game.
“We're not sure how bad it is but we've taken him to hospital as a precaution to make sure that he needs to have anything done, it gets done straight away."
Reports last night suggested Wolves had bid for two defenders – Manchester United's Marcus Rojo (£25m) and Besiktas' Portuguese centre half Pepe (£7m).
The Express & Star understands that there is no truth to either bid.