Spurs have one foot in the quarter-finals of the Europa League after Bale inspired the team to a 3-0 victory in the first leg of their last-16 tie last week.
Although Tottenham lost ground in their own hunt for Champions League qualification on Sunday when they lost to Liverpool, Villas-Boas is determined to land the Europa League trophy and will therefore resist the temptation to rest the likes of Aaron Lennon, Mousa Dembele and Jermain Defoe.
"No chance," the Tottenham manager said when asked if was considering fielding a weakened team.
"There is no scoreline that could make us change six or seven players so we will play a strong team to make sure we go through in this competition.
"We take this game very seriously."
Making the last eight of the competition at the expense of a club who have won three Champions Leagues and 18 Serie A titles would reaffirm Tottenham's position as favourites to reach the final and lift the trophy in Amsterdam on May 15.
"We had very difficult draws for the last 32 and last 16 in Lyon and Inter Milan. They are two teams used to playing Champions League football and who are full of European experience," Villas-Boas said.
"It's been a brilliant experience so far and it shows the route we've chosen to take, by playing it seriously, has paid off in terms of these fixtures, which has been amazing.
"Hopefully if we can manage to overcome Inter we can put ourselves in a strong position (to win it), although we admit there are still some very strong teams in the mix."
Villas-Boas confirmed Aaron Lennon and Emmanuel Adebayor have travelled to Milan after they overcame the respective hamstring and knee injuries that ruled them out of the Liverpool game.
Andrea Stramaccioni has swung the axe again, with Alvaro Pereira, Dejan Stankovic, Ezequiel Schelotto, and Marco Benassi all excluded from the squad for tomorrow's game against Andre Villas-Boas' men at the San Siro.
Bale's absence due to suspension, and a number of injuries in the Tottenham squad, make the task of qualifying much easier, but Stramaccioni sounded doubtful about his chances of winning the tie.
"We want to do well and honour (the competition), but we know our situation and our numbers are limited,'' said the Inter boss, who is without star duo Diego Milito and Walter Samuel through injury.
"Football is strange... 3-0 is difficult to overturn, but we'll be taking to the field to win.
"At the moment, we all know the importance of the 11 league games we have left, but our focus is on Tottenham because I and my players want to do well.
"We want to do well in front of our fans and win the game, and then as far as qualifying for the next round is concerned, we'll have to see.
"There's no point denying it - we're not playing well at present and it's up to me, as the coach, to find the way to give my players more security which they don't have."