The 20-year-old Ghana international has been heavily linked with a move to the Premier League, as the Portuguese tactician prepares a bid to lure him to north London this summer.
Atsu was handed his Porto debut when Villas-Boas was in charge at Estadio do Dragao, and with just over 12 months remaining on his contract in Portugal, could be available at a knockdown price at the end of the season.
The African has so far refused to commit his long-term future, and Porto are fearful of seeing the wide-man leave for a minimal fee after the World Cup next summer.
With an £8million buy-out clause written into his current deal, Spurs could make a cut-price offer to bring Atsu to White Hart Lane when the transfer window reopens on July 1, with the Primeira Liga club now seemingly resigned to selling one of the brightest prospects in Portuguese football.
Villas-Boas tried to bring Atsu to Tottenham when he first arrived last summer, but with Porto demanding £12million, a fee could not be agreed.
His ongoing talks with Porto have failed to materialise on the basis that Porto want to increase his buy-out clause to £30million - something that Atsu's representatives are keen to avoid, with their sights set on a lucrative move to the Premier League.