The Turkish giants started their Group K campaign with a surprise 4-2 defeat to Slovan Bratislava, while Wolves, who came through three qualifying rounds to reach this stage of the competition, lost 1-0 at home to Sporting Braga.
Since that loss at Molineux, Wolves have gone on a three-game unbeaten run in all competitions, drawing 1-1 at Crystal Palace before beating Reading on penalties in the EFL Cup and Watford 2-0 in the Premier League.
With the games coming thick and fast this season, Nuno Espirito Santo is expected to shuffle his pack and one player that could miss out is forward Diogo Jota, who could be sidelined until after the next international break with a foot injury.
Summer arrival Patrick Cutrone could come into the team for Pedro Neto, Ruben Neves may replace Adama Traore, while Jesus Vallejo and Ryan Bennett are both pushing for recalls in defence.
Besiktas have endured a miserable start to their domestic campaign, having amassed just five points from a possible 18 to leave them sitting inside the relegation zone.
The Black Eagles are on a four-game winless run, but are unbeaten in their last three competitive matches on home soil, beating Goztepe before drawing with Rizespor and Istanbul Basaksehir.
Abdullah Avci will be able to call on Mohamed Elneny and Adem Ljajic, who both served a domestic suspension at the weekend, but defender Victor Ruiz is an injury concern.