The 18-year-old bundled in the opening goal at Signal Iduna Park before sweeping home a superb strike in the second half to help the Ligue 1 leaders to a 3-2 win in the rearranged first leg of their Champions League quarter-final.
It was the latest highlight in a spectacular season for Mbappe, who has scored 21 goals in all competitions and seen his name linked with a host of Europe's biggest clubs.
Jardim wants the France international to keep his work rate up, but is thrilled with his development since his first-team debut in December 2015.
"Mbappe is progressing a lot," said Jardim, who left the teenager out for the Ligue 1 win over Angers at the weekend. "He has been with us for over a year, almost two years. He works well, he progresses and understands his role during matches.
"We are happy with his performance. We had prepared for this match: maybe he didn't play against Angers for that, too.
"I think he's going to get to a very high level. But, as always – I speak to you like I do to him – it is always the work, the progression that will help you to reach a great level."
3 - Most goals in the CL after the 1st 3 starts for Monaco:— OptaJean (@OptaJean) April 13, 2017