The north London club have so far only signed Brazil international Paulinho, who joined Spurs from Corinthians earlier this month.
Tottenham, who saw long-term target Christian Benteke commit his immediate future to Aston Villa on Friday, have been linked with the likes of Atletico Mineiro winger Bernard and Spanish youngster Alvaro Vadillo in recent days.
And Villas-Boas has moved to reassure Spurs fans that he is working to bolster his squad as he looks to guide Tottenham back into the Champions League.
“[Transfer speculation] is not irritating, I think it’s part of when the market opens. It’s normal that there is speculation everywhere,” said Villas-Boas
“To be fair the English clubs, compared to the European clubs, are probably the ones who haven’t moved as much as they wanted or should.
“At the moment we have the signing of one great international player, which everybody saw in the Confederations Cup so we are happy but our market hasn’t stopped and we will continue to further strengthen the squad.”
The Portuguese coach also moved to emphatically end the speculation surround Gareth Bale’s future by insisting that the PFA player of the year is not for sale.
“He’s not for sale at any price,” said Villas-Boas, who also confirmed that there had not been any official offers for Bale. “We haven’t had any conversations.”