Insiders say he feels the club would be a more attractive proposition with a high-profile coach in charge such as Sevilla's Juande Ramos, who he interviewed in Spain last month.
During the summer, Levy agreed to buy former owner Sir Alan Sugar's 12 per cent stake for £25million.
Levy's ENIC International paid Sugar's holding company, Amshold, 113.6p a share to take his stake in Tottenham from 54 per cent to 66 per cent.
That deal valued the club at £210million - slightly less than the amount paid by American businessmen Tom Hicks and George Gillett Jnr to buy Liverpool, but Levy believes a London giant like Spurs is worth substantially more.
