The Frenchman has confirmed that the in-demand midfielder will be leaving the club shortly, but did not indicate who he will sign for
M'Vila came on shortly before Rennes scored their second goal in a 2-0 win over Bastia, but then gave away a late penalty that was not converted.
The midfielder has been strongly linked with a €10 million move to QPR, but there might still be interest from other Premier League sides.
Speaking to reporters, Dreossi confirmed a move was close to being finalised, saying: "There is a good chance that this is the last game Yann M'Vila will play for Rennes."
M'Vila has regularly been linked with a move to the Premier League in the past couple of years, with Tottenham Hotspur and Fulham still possible challengers to QPR in the hunt for the midfielder.
Disciplinary issues are believed to have hindered a potential move for the player in the past, with M'Vila currently banned from the French national team until June 2014 after an unauthorised night out whilst on Under-21 duty.