The £8m summer signing from Lyon has vied for the starting space with Brad Friedel. Lloris dislodged the American shot-stopper for the north London derby against Arsenal, and impressed against Lazio last week in the Europa League.
And the report suggests Villas-Boas is set to reward Lloris with a chance to confirm his position as Tottenham's number one goalkeeper.
"We want to give [the goalkeepers] a run of continuity for them to feel stabilised," Villas-Boas said. "It's important for them and for the team too.
"The main thing here is both keepers have been doing extremely well. We've been shifting the keepers, not on bad performances but on good performances."
The Spurs manager had opted for a rotation policy earlier in the season, although Friedel was preferred in the Premier League.
But it seems Villas-Boas has now decided to end his rotation policy, and stick with the French international, who has started the last three games.
Lloris also started for Spurs during their 3-1 victory over West Ham at the weekend, and the former-Lyon keeper is set to keep his place for the visit of Liverpool on Wednesday.
Tottenham currently sit seventh in the Premier League, with 20 points from 13 games, while Liverpool have 16 points for the same number of fixtures, and find themselves in 11th.