Spartak can qualify with a win with the groups decided on head-to-head records rather than goal difference, meaning victory by any score-line would put them into the next round and likely condemn Liverpool to the Europa League.
Klopp says he will play his strongest team despite Sunday's derby at home to an Everton side buoyed by the appointment of new permanent manager Sam Allardyce.
Joel Matip's injury forced Klopp to change his defensive thinking, with Dejan Lovren joined by Emre Can and Gini Wijnaldum in a make-shift back three that worked against a Brighton side that didn't have the ability to open Liverpool up.
Left-back Dmitri Kombarov is unlikely to feature after breaking a rib in a 3-1 win over Zenit St Petersburg last Monday, while long-term absentees Artem Timofeev and Jano Ananidze are out.
However, Klopp has reiterated that he is not concerned about any bid, instead claiming that he is only focused on the club's important Champions League clash with Spartak Moscow.
Liverpool are unbeaten against Spartak Moscow in the Champions League (W2 D1), with their last encounter at Anfield ending in a 5-0 win for the Reds in October 2002.
In his last season for the Reds, the South American superstar netted 31 league goals. They have also failed to keep a clean sheet in their past 15 outings in the competition.
Spartak have reached the knockout stages of the Champions League only once in their 11 previous appearances - in 1995-96.