Mick Schumacher will stay for another season in European F3 next year.
Mick, 18, admitted: "I'm trying to improve in all areas."
As for Schumacher, the German told SID news agency: "When I am ready, the next step will happen. But first I have to prove myself."
Schumacher said that he is "very likely" to remain in F3 next year with the Prema team, because "anything else would not make sense in the current situation".
As for the comparison with high F3 achievers like Norris, Schumacher said: "I focus on myself and do not look at the other drivers.
"Everyone has their own development that you cannot compare. I am taking one step after another and trying to prepare myself as well as possible for the future."
However, he confirmed: "Yes, my goal remains Formula 1.
"What has happened this year has happened and I am very happy with it."
Michael Schumacher won the F1 world championship on seven occasions prior to his retirement.