Tottenham on Friday put Bale's world-record transfer to Madrid on hold after they failed to sign Willian, who had been earmarked as a replacement for the Welshman.
Tottenham were very close to signing the Brazil international, whose best position is the number 10 role Bale operated in last season, but Chelsea look to have sneaked in at the 11th hour to snap up the former Anzhi Makhachkala player for around £32million.
As Spurs look for alternatives to Willian - talks are ongoing with Roma over a deal for Erik Lamela - Bale remains on the books at the north London club.
It seems inevitable that Bale will be announced as a Real Madrid player in the coming days, but should the £93million deal not happen by Sunday, he will not be compelled to be at White Hart Lane to bid farewell to the Tottenham fans before the club's game against Swansea as he is officially still suffering from a foot injury.
Many Tottenham players sit on the back bench of the home dugout at White Hart Lane when they are injured, but it looks like Bale will not do so this weekend.
"We have no rules for or obligation for players not selected to be on the bench or in the stadium so I don't expect Gareth to be seen at the club," Villas-Boas said.
It is entirely understandable why Bale would not turn up for the game.
As Villas-Boas says, injured players are not compelled to turn up for matches and a public appearance by Bale would only serve as a distraction while the team set about the task of trying to secure their second win in two Barclays Premier League matches.
Tottenham fans aired their disappointment on Twitter on Friday after it emerged that the Blues had apparently snatched Willian from under their noses.
The signing of Willian would be a real coup for Mourinho, and he seemed to have a dig at Tottenham by appearing to criticise their handling of the Brazilian's transfer.
It emerged on Wednesday that Willian was having a medical with the north London club after he was pictured in the English capital. Even though he completed those medical tests, Chelsea then came in with an 11th hour bid and the player opted for the Blues as they can offer him Champions League football.
Mourinho understands the need for medicals before contracts being agreed, but also spoke of the danger of a deal being gazumped.
"The best thing to do is to do the medical in secret," the Chelsea manager said.
"After that when you sign the contract with the club and the player, you say 'done'."
Missing out on Willian is a blow to Villas-Boas, who was counting on the player to add the star quality which Bale brought to the team last season.
Still, the Spurs boss can look back on his dealings in the market with satisfaction having signed four top-class players so far this summer.
Roberto Soldado has scored three goals in two matches, Nacer Chadli has offered pace and delivery on the wings and Andros Townsend put in a performance against Dinamo Tbilisi that Bale himself would have been proud of.
Villas-Boas has been happy with how his team have played without Bale and he wants them to maintain that level of performance in the coming weeks.
"Whenever a team is missing an important player it is a chance for other players to step up their game," the Tottenham manager said.
"In the end there will always be an opportunity for other people to shine through. Other players are taking that responsibility on board.
"A player like Andros Townsend is an example but others can follow the same footsteps. We have done so in the game against Crystal Palace and Tbilisi.
"Our game is much more collective and we are able to score inside the six-yard box which is not very common for us - last season we were the team that scored most from outside the box.
"So one thing will allow the other to shine. So I am extremely happy."