Mane will miss crucial Premier League fixtures plus a two-legged EFL Cup semi-final against Southampton as well as the start of their FA Cup campaign on the agenda.
"It will not be easy for me to go with Senegal next month," said Mane.
"I would love to carry on playing with my team-mates and help my team but I think they will understand because it is my country and it is my dream.
"I will be wishing them good luck but without me the team will be the same. Even better I think. They will cope. Coutinho will come back. Matip will come back and Sturridge is back now.
"I am very happy for him [Sturridge]. It has not been easy for him being out, he has had a lot of injuries, but you know he can deliver important performances for the team.
"That is why the team will be strong [while I am away]."