The Blues scored first at Carrow Road through Oscar inside five minutes before Anthony Pilkington levelled for the home side with just over 20 minutes remaining.
Chelsea pushed for another goal and eventually netted twice in the final five minutes courtesy of substitutes Eden Hazard and Willian to run away with a two-goal victory which Mourinho felt was hard-fought and well-earned over a tough opponent.
"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."
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