The Russian club have announced that Slutsky, who has been at the helm since 2009, will oversee his final match in the Champions League against Spurs before departing his role.
A CSKA statement on Tuesday read: "After the match with Tottenham in London, Leonid Slutsky will leave his post as head coach of CSKA Moscow.
"CSKA give their thanks to Leonid Slutsky after seven fruitful years together, including three league titles, two Russian Cups and two Russian Super Cups, as well as the incredible emotions that the team under his leadership have given to the huge army of fans.
"Our club doors are always open to you, Leonid!"
Slutsky recently juggled his role as CSKA boss with the Russian national team job which he was removed from after Euro2016.
A win over Spurs will see him place CSKA in the Europa League for the Round of 32, however, anything less than three points will end their European run for the season.