The English international has been in exciting form for the Hammers during this period and contributed with nine goals and four assists.
Lingard’s impressive form has helped East Londoners push for a Champions League place.
Calciomercato reports that Nice are still very keen to sign the 28-year-old midfielder, who is not under contract at Old Trafford at the end of next season.
It was reported last week that the Englishman will look to push for a permanent exit from the Red Devils this summer, but the French club will have to compete with West Ham and other clubs for his signature.
Lingard has scored 33 goals in 210 appearances for Manchester United.