Declaring supplier with create product endpoint

Is there an undocumented parameter to set the supplier for a new product? The documentation shows the response gives assigned suppliers, but there is no documented parameter for declaring it in the first place.

You’ll want to use the product and supplier id and associate them using this endpoint:

If you want to set the supplier as the default supplier for that product you’ll want to use this endpoint:

At this time, there is no way to create a product with a supplier already assigned using the API.