The Brazil international was the subject of a deadline day bid from Spurs in January, but an agreement for his transfer could not be reached.
That isn't expected to stop Spurs from going back in for Damiao at the end of the season, though. Villas-Boas is hopeful that Tottenham will be gearing up for a Champions League campaign in the summer, and he's willing to listen to offers for Adebayor - one of the club's top earners on close to £100,000-a-week including bonuses.
Spurs have tried and failed on three occasions to land Damiao, and Villas-Boas is thought to have Braga striker Eder lined up as an alternative if they fail again.
The Portuguese forward starred during Braga's Champions League campaign, and he's rated highly by Villas-Boas. Eder worked under the current Spurs boss during Villas-Boas' stint at Academica during the 2009-10 season.
The 25-year-old has five Portugal caps, and has attracted attention after a number of powerful performances in the Primeira Liga this season.
The report claims Tottenham are also considering a summer move for Aston Villa striker Christian Benteke. The young Belgian forward has been a revelation since joining from Genk in a £8m deal.
But, in order for Villas-Boas to make additions he must first make room in the squad, and Adebayor is first in line for the axe.
The 29-year-old was signed for £5m from Manchester City last summer after an impressive loan spell.
But the former-Arsenal striker has disappointed at White Hart Lane this term, and his high wages have made him vulnerable to the chop come the end of the season.
However, the fact that he's in the first year of a four-year contract, a deal that reportedly includes a mandatory pay rise after two seasons, could mean that Spurs find it difficult to locate a buyer for the Togolese forward.