The Italian attacker will join the Ligue 1 title challenger on an initial loan deal and will complete the transfer Monday following a medical.
AC Milan has announced a deal with Monaco to seal forward Stephan El Shaarawy's exit from the Serie A side.
The 22-year-old broke into the Rossoneri's ranks in 2012-13 but a plummet in form after the midseason arrival of Mario Balotelli was followed by a long-term foot injury.
The Italy international never truly shone under Filippo Inzaghi in another fitness-hit campaign and he was deemed surplus to requirements following the arrival of Carlos Bacca and Luiz Adriano.