Struggling Championship side Rotherham have signed Burnley defender Daniel Lafferty on a loan deal for one month.
Blackpool's top scorer Steven Davies is set for the Bloomfield Road exit door after asking to speak to another club.
Diarra, 31, joined West Ham last summer from Marseille, but picked up a thigh injury in training in September and has played just once for the club.
Diarra, who has 44 caps for France to his name, has spent most of his career in France, most notably in a successful spell at Bordeaux between 2007 and 2011.
Rennes will be the sixth Ligue 1 side Diarra has played for, following Le Havre, Bastia, Lens, Lyon, Bordeaux and Marseille.