The report claims Spurs are reluctant to loan Livermore to a club that is likely to challenge them for a Champions League qualification place. Everton currently sit fifth in the Premier League table, three points and two places behind Spurs.
But there's interest from a number of other top-flight clubs, including West Bromwich Albion, Norwich, Reading and Queens Park Rangers, and Andre Villas-Boas is prepared to send Livermore out on loan as he sees the midfielder as part of his long-term plans at White Hart Lane.
The 23-year-old made his England debut against Italy in August, and featured in several of Tottenham's games early on in the season.
But the return of Scott Parker from injury is likely to limit Livermore's first-team opportunities, with Mousa Dembele and Sandro currently the first-choice midfield partnership.
Livermore also underwent a hernia operation, which kept him out of action for six weeks towards the end of last year, harming his chances of nailing down a first-team place. Spurs are now keen for the young midfielder to gain more Premier League experience, and there are no shortage of clubs willing to take him on loan.