Mick Schumacher's first formula one test will take place next week in Bahrain.
Schumacher, 20, will already be in Bahrain for his first Formula 2 race.
"Bild (newspaper) knows that Alfa Romeo will be Mick's first formula one car," the German publication and other authoritative sources reported.
Alfa Romeo is a Ferrari 'B' team, and Schumacher is the leading member of Ferrari's driver development academy.
Schumacher told Italy's La Repubblica last week: "It has never been a problem for me to be compared to my father.
"In fact, it is an honour to be compared to the best driver in the history of formula one. I just have to try to learn and improve."
As for his new Ferrari role, the reigning European F3 champion added: "They made me feel immediately at home, but Ferrari has always been part of my life after all."