The young Nigerian forward is close to a move from Holland to the Russian giants after reaching an agreement
The young Nigerian has been on the books of many clubs including Arsenal and Schalke since he moved to Holland in 2010, where he made a big impact with Eredivisie side VVV.
Musa, 19, broke the 20-year-old scoring record of the Nigeria Premier League in 2010 after scoring 18 goals in as many games.
He has become a member of the Nigeria senior team and was nominated for the Confederation of African Football's (Caf) young player award in 2011.
CSKA and VVV have yet to agree on a transfer fee for the young player, who has a contract until 2013.
In September 2011, the Venlo side allegedly turned down a big money offer from a Bundesliga club for his services.