However, last season's runners-up are still eight points behind leaders Marseille after 11 matches.
Meanwhile, 14th-placed Reims can move further away from trouble if they build on their unbeaten run of three games.
The visitors, who are currently managed by former Paris Saint-Germain defender Jean-Luc Vasseur, have picked up seven points from a possible nine in recent weeks.
Monaco will be without the injured trio of Dimitar Berbatov, Layvin Kurzawa and Joao Moutinho, while Franck Signorino and Prince Oniangue are both available for Reims after serving respective suspensions.
Possible starting lineups
Monaco: Subasic; Fabinho, Carvalho, Raggi, Echiejile; Dirar, Bakayoko, Kondogbia; F Carrasco, Germain, Traore
Reims: Placide; Conte, Tacalfred, Fofana, Signorino; Odair Fortes, Devaux, Oniangue, Diego; Charbonnier, N'Gog
Sports Mole says: 2-0