The 35-year-old coach was sacked by the Blues' owner less than a year into his contract in 2012 after struggling to build a consistent run of results and experiencing problems with a number of senior players.
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"We won't know that until the end of the season," the Portuguese told reporters when asked if Spurs' 12-game unbeaten run proved anything to Abramovich. "I won't be egocentric now - we must wait.
"Even if we have a setback I think we are able to bounce back. The players are really up for it after what they suffered last season."
Tottenham have had a hectic schedule after beating Inter 3-0 in the Europa League on Thursday night and overcoming Arsenal 2-1 last Sunday, but Villas-Boas suggests a fine run of form will boost the players instead.
"Liverpool wanted to win [the Europa League] too," he continued. "I am sure Brendan [Rodgers] would still prefer to be in it. Legs can be a little bit tired but we can respond as we have in the past after the Europa League.
"Most of the players now look at each other with pride. That makes a difference because all of them see that we're going in the same direction towards achieving success."