The Russian Premier League club released a statement on Tuesday confirming that a deal has been agreed in principle for the Italy international defender to return to his homeland for the rest of the 2014-15 campaign pending a medical.
Bocchetti has been reduced to just three league appearances this term and has been in Russia since 2010, having spent three years at Rubin Kazan.
The 28-year-old will be viewing his move to Milan as a chance to kickstart his career.
Genoa were linked with Bocchetti earlier this season, but Milan coach Filippo Inzaghi has lured him to San Siro.
Bocchetti's career included spells with Ascoli, Frosinone and Genoa before he departed for Russia.
'They said I fought with Mario Balotelli at Swansea and against Sunderland. That shocked me. My lawyers called me about this, and it was the first I knew about it. It upset me, and I feel sorry for Mario.' Yaya Toure clears up Manchester City fight talk
‘Sir Alex told Van Persie to watch my goal back at Anfield for some shooting tips! It was a beautiful goal, though. It’s a shame that I didn’t do it more often’: Manchester United cult hero recalls stunning strike against Liverpool
