With the scores level at 1-1, the 50-year old introduced Samuel Eto'o, Eden Hazard and Willian in an attempt to reclaim the lead at Carrow Road after Anthony Pilkington's header had cancelled out Oscar's early opener.
Hazard and Willian both netted late goals to secure the win, something which pleased Mourinho as it looked as though he would be forced to settle for a point.
"My idea was to come here, score the first and the second and try to kill the game as fast we can," he told Sky Sports.
"The players did their best and the opponents deserved to play and these teams are always difficult teams to beat. They fought hard and gave us a very difficult match.
"With the result at 1-0, they didn't risk it; they were waiting for their chance to score a goal. They scored and after that, the game is open football but I'm not here to defend a point, I'm here to try to win so I had to risk a little bit.
"I did, but the responsibility is on the players as they're on the pitch."
Demba Ba, who assisted Oscar's goal, replaced the suspended Fernando Torres for Chelsea and Mourinho says that the Senegalese striker was perfectly suited for the game.
"I wanted to use Demba because we know that Demba is adapted to these kind of matches, but then the match became different," he said.
"When the match became more open and there was more spaces, it's all about work and I played Samuel (Eto'o).
"They know the conditions and which positions to play on the pitch and they did very well. We deserved a difficult win today."
Ashley Cole clutched his ribs as he made way for Hazard, although Mourinho says that it was not the reason why he substituted the left-back.
"He has had this little problem for quite a while, but now he has it really hard in the ribs area," he said.
"I didn't change him because of that, I changed him because of the options but in the end, the situation before meant it was a difficult condition.
"It is my concern because I want England to do well. I want my players to help their national team and I'll be there Friday because I would love England to go to the World Cup."