Sami Hyypia's men sit third in the Bundesliga but will want a turnaround in European fortunes, whereas Sociedad is in woeful form all round.
The Liga outfit was beaten 2-0 by Shakhtar Donetsk in its group stage opener, while Leverkusen went down 4-2 against Premier League champion Manchester United.
However, the Bundesliga side has won all three matches in the league since its defeat at Old Trafford, scoring eight goals and conceding just once in the process.
Sami Hyypia's side sits third in the German top flight after its 2-0 win over Hannover on Saturday and faces champion Bayern Munich on Saturday.
Leverkusen has enjoyed 100 percent records in the group stages of the competition in the club's past two campaigns, though Hyypia has admitted he is unsure whether he will rotate his squad for the clash with Jagoba Arrasate's men.
Sociedad has never recorded a European win on German soil, losing two and drawing one of its three encounters in the country.
Arrasate's charges have not won since their Champions League qualifier against Olympique Lyonnais in August, losing two and drawing three of the last five league games.
Xabi Prieto is unlikely to feature for the visiting side, having suffered a thigh tear in his team's 4-1 defeat against Barcelona, while loanee Esteban Granero will miss out.
The midfielder suffered an anterior cruciate ligament injury during the defeat against Shakhtar.
In what will be the sides' first meeting, defeat would see the losers cast three points adrift at the bottom of Group A.