Bale bagged his 26th goal of the season to give Spurs a 1-0 win over Sunderland, but it was not enough to earn a place in Europe's premier club competition as Arsenal defeated Newcastle by the same scoreline at St James' Park.
Real Madrid, Bayern Munich and both Manchester clubs have all been linked with the 23-year-old, who won every leading player accolade in the country this term.
Unlike Spurs, all four of those clubs will be able to offer the forward Champions League football next season. But that does not mean the Welshman is on his way out of north London, according to his manager.
When asked whether Bale would still be at Spurs next term, Villas-Boas said: "Yes, that's the information we have.
"It is very, very difficult to lure a player of this dimension away.
"You have to hold onto your best assets."