Sako, 26, is out of contract in the summer, and has scored seven goals in 23 Championship games this season to fuel speculation of a potential winter move.
Both Villa and West Brom have been linked to his signature in recent months, but it’s now been suggested that the Mali international will not leave Molineaux this month unless a top-10 Premier League club comes calling.
Nevertheless, Wolves head coach Kenny Jackett admitted last week that he has a gentleman’s agreement with his star man that, if a top-flight offer comes in, the pair will discuss it.
"We've had some transparency with Sako," he told the Express and Star. "We've said 'look, if a Premier League club comes in for you, we'll speak to you'.
"And because of that, we've got the best out of him.
"We haven't had a bid and we don't want one but if a Premier League club makes the right offer, we'd speak to the player."
At the African Cup of Nations at present, Sako has an asking price of around £2.5 million, per the Birmingham Mail, with a ‘special rate’ set for the Baggies, due to the wrath the club would incur from fans for selling to their bitter rivals.
However, Jackett has stressed there is no desperate need to sell the powerful attacker this month, despite his contract situation, adding: “We paid £2.5million for him, but there's no desperation to sell him.
“Steve Morgan and Jez Moxey would love him to see the season out and then talk in the summer. Sako is relaxed about the situation."
Signed from Saint-Etienne in August 2012 for £2.2 million, Sakho has racked up 30 goals in 106 total appearances for Wolves, having stuck with the club during their past season in League One.
With Jackett’s side sitting one spot off a play-off place in the Championship table after 27 games, keeping the French-born ace for the remainder of the season will be vital to their promotion push.