Lens controlled the game from the start but could not find the breakthrough in a mostly uneventful half and the pattern resumed after the break as Nice looked to counter-attack.
The hosts had a chance to snatch the points but substitute Remy Lascary's shot from outside the box three minutes into stoppage time flew wide.
PSG captain Marquinhos scored at both ends against Racing Strasbourg on Wednesday before a last-gasp Kylian Mbappe penalty secured a 2-1 victory as they stretched their lead at the top.
Lens now have 37 points, seven behind PSG after 16 games.
Marseille fired six goals past visitors Toulouse, with six different scorers including an own goal, as they won 6-1.
The win took Marseille up to third with 33 points, two points above fourth-placed Stade Rennais who lost 3-1 at Stade Reims, while Toulouse are 13th on 16 points.