According to Deadline, a meeting was recently held of the TV Academy board of governors and Lynch is said to be the frontrunner to host Fox's coverage of the show.
It's claimed Family Guy creator Seth MacFarlane and American Idol host Ryan Seacrest are also in the running to host the show.
NBC had US chat show host Jimmy Fallon present the show last year while Neil Patrick Harris hosted for CBS the year before that.
The show will air on FOX on September 18.
Last year, Lynch won an Emmy for outstanding actress in a supporting role for her part as Sue Sylvester in Glee.