"Our results in November have been catastrophic. There is a lot of disappointment and frustration in our dressing room. We must exceed ourselves," Lloris told reporters on Tuesday.
Second-placed Lyon have drawn their last three league games - at home to Olympique Marseille and Stade Rennes and at bottom club Grenoble - and failed to secure top spot in their Champions League group when they lost 1-0 at Fiorentina last week.
The seven-times champions travel to Lille with 26 points from 14 games, two behind champions and leaders Girondins Bordeaux and just ahead on goal difference of AJ Auxerre, who host Paris St Germain and AS Nancy respectively.
While Lyon are struggling to rediscover their best form, Bordeaux have gathered momentum thanks to a 2-0 win home win over Juventus which gave them a five-point lead in their Champions League group with one game to spare.
A 3-0 win at Nancy in their last outing also saw them reclaim top spot.
As a bonus, they could welcome back playmaker Yoann Gourcuff who has been sidelined since November 18 by a groin injury but took part in a full training session on Tuesday.
Olympique Marseille, seventh in the standings on 22 points, travel to neighbouring Nice with their thoughts already on next week's clash with Real Madrid in the Champions league, in which the French team have a chance of qualifying to the knockout stage.
"We have got to dream and hope but we must first concentrate on Saturday's game," coach Didier Deschamps told the club's website.
"The match against Madrid will be a gala game but the championship is our first priority and we can't afford defeats anymore," he added.
