Besiktas had look on course to earn a share of the spoils against Slovan Bratislava, only to concede two last-gasp goals to lose 4-2 in Slovakia.
Since overcoming Torino to earn their place in the main stage of the competition, it is fair to say that Wolves have not enjoyed the best run of form, with just one win coming from their last half-a-dozen outings.
However, Saturday's 2-0 triumph over Watford in the Premier League, which followed netting a 95th-minute leveller at Crystal Palace a week earlier, have proven enough to take Wolves out of the relegation zone.
Those two results have at least provided Nuno Espirito Santo's team with some momentum ahead of a tough week, with Manchester City at the Etihad Stadium to follow the demanding visit to Turkey.
Nevertheless, there is little doubt that the showdown with Besiktas will get Nuno and his squad's full focus, especially after the disappointment of losing at home to Braga.
The West Midlands outfit are eager to progress as far as possible in this competition, but they will have to find a way to gain a result on territory which has traditionally proven difficult for visiting teams.
While Besiktas may have lost their first fixture in Group K and currently sit in the dropzone in Turkey's top flight, they are unbeaten in their three home games in all competitions this season.
Much will also be made of just one clean sheet coming from seven outings, although it should not go unnoticed that they have scored in their last six matches.
Boss Abdullah Avci has a job on his hands to improve the club's fortunes on both the domestic and European fronts, but a game of this magnitude may just be what his squad requires in order to get their campaign back on track.
Besiktas form: WDLLDL
Wolverhampton Wanderers form: LLLDDW
Diogo Jota is unlikely to feature for Wolves having picked up a foot injury, with reports suggesting that the Portuguese attacker could be absent until after the international break.
Defender Victor Ruiz is the only injury concern ahead of the visit of the English outfit.
Besiktas possible starting lineup: Karius; Douglas, Vida, Uysal, Rebocho; Diaby, Tokoz, Elneny, Ljajic, Nkoudou; Nayir
Wolverhampton Wanderers possible starting lineup: Patricio; Vallejo, Coady, Boly; Doherty, Dendoncker, Moutinho, Saiss, Jonny; Cutrone, Jimenez
We say: Besiktas 1-1 Wolverhampton Wanderers
While both teams have shown frailties since the beginning of the season, we expect them to rise to the occasion of realistically needing to avoid defeat on Thursday night. With that in mind, a competitive draw with few goals could be played out.