Hearts have granted captain Christophe Berra permission to open discussions with Wolves and a deal is expected to be completed by the end of the weekend.
The SPL outfit have decided to sell the defender after agreeing a fee with Championship leaders Wolves, which is believed to be in the region of £2.3million.
Hearts will, therefore, be without Berra for Saturday's trip to Hamilton as the Scotland international is due to travel to England.
Wolves missed out on Berra in the summer after failing to meet Hearts' valuation, but Molineux boss Mick McCarthy, who has criticised the Scottish club for making the deal public knowledge, now appears set to land his man.
A Tynecastle spokesperson said: "Hearts have given Christophe permission to talk to Wolves, and he does so with our blessing."