Valentin Eysseric converted the visitors only shot on target as they consolidated their position in mid-table.
Nice had goalkeeper David Ospina to thank after a string of important saves kept Marseille at bay.
On Saturday, Paris St-Germain will look to stretch their unbeaten run to 12 as they visit Bastia while Monaco entertain Sochaux keen to close the eight point gap at the top of the table.
- David Ospina
- Valentin Eysseric