Import fields with connection field

I have 2 tables that are connected.
When adding a new contact starting with the Organization Name field, the Organization Name field is a dropdown required field connected to the Organization table.
I need to import, from a csv file the Organization Name and add it as a new record in the Contacts table without it creating a duplicate Organization Name.
I know how to import but I’m stuck on what to do on the import since the key field is a connected field.