Gbamin signed for CSMKA earlier this week in a straight loan from the Blues.
Italian transfer expert Fabrizio Romano is reporting Everton will cover 30 per cent of the midfielder's wages for the duration of the loan.
Gbamin will play for CSKA until the end of the 2021/22 season. This term, the player has taken part in five Everton matches, he has one assist.
The midfielder will play for CSKA wearing the No27 shirt.