Mourinho spoke to his fellow Portuguese after Spurs cut their losses on the former Chelsea manager on Monday, relinquishing him from his duties in the wake of the 5-0 loss to Liverpool.
"I spoke with Andre in the last six months; I spoke with him three times," Mourinho said.
"One in that manager's meeting (at the start of the season), one when we played against them and another one a couple of days ago.
"I didn't speak about it (the sacking). Just: 'Come on. The world didn't finish. Let's go. Tomorrow's another day and another job will come. So, happy Christmas'.
"I did not speak about the case, because every case is a case and only the people that is inside really know what was going on."
Even after Spurs' 6-0 loss at Manchester City, Mourinho insisted they were one of Chelsea's five rivals for the Barclays Premier League title.
Mourinho expressed sympathy for his compatriot, who had a challenging and ultimately unsuccessful nine-month stint at Stamford Bridge from the summer of 2011 to March 2012.
And he believes the Spurs board and chairman Daniel Levy should have stood by Villas-Boas, who worked under Mourinho in his formative years before taking managerial roles at Porto - where he won the treble, including the Europa League - Chelsea and then Tottenham.
Mourinho said: "In football nothing surprises me. In football anything can happen.
"(But) when they gave him three or four or five years contract, I think they did it because they trust him and because they think he's the right man to be their manager.
"They have a couple of bad results, I don't think it's a reason to change the trust and to change the manager.
"(But) every case is a different case. I don't know what was going on."