Tuchel is delighted with their start as he believed it would take longer for his side to recover from reaching - and winning - last season's Champions League final before most of his squad went off to play in the European Championship.
He said: “I didn't expect us to be at our top level in early September after this pre-season.
"I absolutely did not expect the very best games from us as a team.
“For me, at the moment, it is more important that we are competitive, that we show a certain mentality and play relentlessly. We have the belief to overcome difficult minutes and periods within games.
"We have to accept and respect that our opponents are strong and that competition is hard. It is a good thing that we are able to win but it is tough for us to win at the moment.
“But it is nothing to worry about. We have to improve our rhythm of the game, understanding of it, the accelerations and counter-pressing off the ball so there is stuff to improve."
Tuchel added: "We've had a fantastic training session and used the time together to prepare for this, to focus on these things.
"It is a good thing when you are able to win and not by pure luck but by being able to compete in hard matches.
"We have a long way to go, the season has only just started.
"I am not surprised the engine is not running as smoothly as at the end of last season, it takes time."
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