The game, which took place on the field of the Fisht stadium, ended with a score of 2: 1 in favor of the team of Alexander Tochilin.
Christian Noboa scored a brace for Sochi (20th minute, penalty; 49th).
Alexander Troshechkin (60th) scored against Akhmat.
Sochi in the fourth round of the house will host Pari NN on August 7.
"Akhmat" the day before this house will play with "Zenith".
Earlier, the former coach of Lokomotiv, Yuri Semin, reacted to the defeat of the railway workers.