United followed up on their opening day 4-0 home win against West Ham by travelling to Swansea and winning with an identical scoreline but Mourinho doesn't want to get carried away.
The Portuguese coach used a motoring analogy to warn his players of the problems lying ahead as United aim to become Premier League champions for the first time since 2013.
Following the 4-0 victory, this is the first time United have scored four or more goals in their opening two league games since 1907 but Mourinho said his players have to be prepared for when things don't go their way.
"In this moment everything is going in our favour," he said. "But it's not always motorway. You always find difficult roads and road works, and we have to be ready."
United only managed to score four goals once in the league last season under Mourinho, against next weekend's opponents Leicester City, but have now managed it twice in the space of seven days.
But the United coach was keen on focusing on more recent statistics. "I prefer to say we started last season with two matches, six points, and we finished sixth," he added.
"It's not a lesson, it's a reality of football. Two matches are not the end of the world for people that lose, and it's not paradise for people that win.
"I am happy, of course, and the quality of the performance gives me even more confidence.
'I think the team is confident. In both matches winning 1-0 at half-time we didn't start the second half looking like we have to keep a clean sheet to win the match."