The England international has two years left on his deal at Goodison Park, but he has reportedly cancelled negotiations over a new contract.
Tottenham are hoping to take advantage of the situation and try and sign the player in the summer transfer window.
Andre Villas-Boas is a keen admirer of the experienced midfielder and he is prepared to pull all the stops to sign him in the summer.
Spurs are rumoured to be readying a £6 million bid for Osman, while they could also include some of their back-up players in the deal.
Leon Osman, 31, has developed into one of England’s top central midfielders over the years and he has been a key player for the Toffees for quite a while.
Osman was even handed a full England debut in November 2012 and has managed to keep his place in the squad ever since.