Wanyama has not played since the 3-1 loss to Bayern Munich in the Champions League on December 11 and the latest decision further indicates the player is not part of the coach's plans.
"We started with a back five, resist, kept ourselves in the result and the only thing that wasn't in the programme was to concede a second goal, a second goal could kill us mentally".
Taking credit for the win in classic Mourinho self-promoting style, he said: "I think I did very well because I had to manage a team with so many difficulties".
Spurs set up a fifth round clash with Premier League bottom club Norwich City, and should they get past the Canaries, Mourinho will be just one win away from another trip to Wembley and three wins away from FA Cup glory.
"They were fresher, had more intensity, they tried to win the game, they didn't want to defend the result or try to wait for something to happen, they were courageous and we had to cope with that with a game plan that was detail by detail".
"I have to be honest and say I think the best team lost on the pitch, but my team were the ones with more heart and went to their limit", Mourinho said.
Maybe we need them for something. "They deserve this happiness".
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Son has now scored in four consecutive matches across all competitions and is really beginning to help fill the void of injured striker Harry Kane.
Jan Vertonghen was the first player to be taken off by Mourinho, however, as Gedson Fernandes came on, leading to a change in formation.
"We are going to go game by game, step by step, give our best and we will see where we are at the end of the season".
That was another disappointment for the Dubliner, who has not been involved in their last 14 matches, and he may not make the bench for tonight's Cup tie.
"I was immediately very upset that Sterling didn't get the red card and then that situation happened again and in one minute I was laughing and the next minute fuming", said Mourinho.
"Some players react in a negative way but Jan acted like the professional that he is".