Hi @Niklas_Jaeschke and welcome to the Forum!
Adding to what @Bastien_Siebman explained, I would also recommend you to have a look a the following threads:
There are several recommendations you might find useful! You can also have a look at all Time tracking integrations available for Asana in the following link: Asana Apps and Integrations • Asana
I hope this helps Niklas! Have a great week!