The former England manager is said to be auditioning to compete on the ITV show when it returns in 2013.
According to The Mirror, ITV bosses are very keen to sign up the 54-year-old former Tottenham player, with an insider saying: "We would love Glenn to be part of the new show. He is a football legend and a guaranteed ratings winner."
Ex-boxing world champion Steve Collins, 47, Winter Olympics gold medallist Amy Williams, 29, and The Mirror's gardening expert Diarmuid Gavin, 48, are among the other names reported to be auditioning after being spotted at an ice rink rehearsing in front of researchers.
Reggae Reggae Sauce creator Levi Roots is also reportedly in talks with producers to appear when the show returns.
Previous celebrities who have been rumoured to have auditioned are Jodie Marsh, EastEnders' Matt Lapinskas and Ian 'H' Watkins from Steps.
Hoddle won 53 caps for England and managed the national team from 1996 to '99, before being sacked for saying in an interview that disabled people received their conditions as a result of sins in a previous life.
Watch a tribute to Glenn Hoddle below: