After wins over Manchester City and Crystal Palace in the season's early stages, Arsene Wenger hopes for more of the same while hinting at changes to his starting lineup.
Arsene Wenger's side, buoyed by a busy transfer window that included the eye-catching acquisition of Alexis Sanchez, impressed with a 3-0 Community Shield win against Manchester City and was then required to grind out a result when beginning its Premier League campaign with a last-ditch 2-1 victory against Crystal Palace on Saturday.
The aim now is to secure progression to the group phase of Europe's premier competition with a minimum amount of fuss.
Wenger, however, knows that a tricky test awaits as Arsenal attempt to reach the competition proper for the 17th successive year, beginning with Tuesday's away leg at Ataturk Olympic Stadium.
"I believe it will be a very tough game and a very important one for us. We want to be in the Champions League group stage," the manager told reporters. "Besiktas had a convincing result against Feyenoord [a 5-2 aggregate win in the last round] and so for us we have the luck to play the first game away.
"We know what is at stake, of course, and want to be highly focused for this game."
Arsenal has good memories of facing Turkish opposition at this phase, having beaten Fenerbahce 5-0 on aggregate last season.
Besiktas is no doubt brimming with confidence as well, having cruised past Feyenoord to reach this stage. Goals from Mustafa Pektemek and Kerim Frei earned a 2-1 triumph in the opening leg of that contest before a Demba Ba hat trick finished the job to complete a 5-2 aggregate success.
Besiktas is yet to begin its domestic season, with its opening match coming against Mersin Idmanyurdu at the end of August.
The Turkish club has never previously faced Arsenal and last reached the Champions League group stage in 2009-10.
Wenger could opt to make changes against Besiktas as he felt that striker Yaya Sanogo looked "jaded" against Palace, while Jack Wilshere suffered with sickness in the build up to Saturday's game, although he was passed fit enough to start.
Arsenal's World Cup-winning trio of Per Mertesacker, Lukas Podolski and Mesut Ozil is not expected to play any significant part after it was allowed to return to training late following their exploits in Brazil and sat out the Palace game.