The Blues beat Leicester City 2-0 at Stamford Bridge with goals from Diego Costa and Eden Hazard enough for victory.
The win follows on from Monday night’s 3-1 victory over Burnley at Turf Moor but Mourinho is not completely happy with his team despite their perfect start to the season.
"The team was lazy in the first half and I didn't like it, but in the second half we improved. The most important thing is we won," he told reporters.
"This weather pushes players to be a bit lazy, lose a bit of tension and sharpness in their body. When that happens you pass slow, you move slow and you don't react to the ball. At half-time we had to be a bit emotional with them and make them realise.
"I told them 'If you have the same feeling and vision that I have, we are not in trouble, because we can change. If you don't agree we are in trouble, because if we don't change we won't win this game'. They understood, they had the same feeling and the second half from minute one was immediately different.
"I told them the way we were playing was not good enough to win the game and we were at risk. Basic things but important things."
David Nugent had the chance to open the scoring for the visitors before Costa struck but Mourinho was much happier with his side’s second-half display.
"In the second half we were much more aggressive, won more second balls and made it fast and difficult for them," he added.
"We were too strong for them but I don't forget that with the score 0-0 they had a face-to-face situation with Courtois. But I think it was their only chance of the second half.
"It's important not to lose points against teams you have to beat. But I have to say well done to Burnley and Leicester because they played to win, not with negative thinking."