The Sun suggested on Tuesday that Villas-Boas did not say a word to Lampard all evening after his winner against Wolves on Monday, fuelling speculation of a rift between the pair.
Lampard has found himself in the unfamiliar position of not being an automatic first-team selection this season, with Villas-Boas preferring to utilise younger players in midfield.
But the England midfielder is still Chelsea's second top scorer, having contributed eight Premier League goals this season - and he feels he has plenty to offer the club in future.
"I'll always be completely committed to Chelsea because they're my club and I love playing for them," Lampard said. "I like to play 90 minutes and can't hide that - and I don't think the manager would expect anything else.
"He's the boss and he picks the team but I've been here many years as part of a successful team. It's much easier for me when I'm starting games and playing regular matches to get into a rhythm.
"When I play I feel I can do things, like I did at Wolves. And when I can do that, then I'll smile more."
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