Again, for the record, the Sox either have to keep him on the major league roster, or they have to expose him to waivers so that the entire rest of baseball has to have an opportunity to claim him, before the White Sox can send him down.
This isn't about having, or not having, depth. It comes down to can the Sox afford to roster him while he is still an extremely raw work in progress, or do they need to see if they can move him for the best available offer?
Any deal isn't likely to be a blockbuster, as the next team to get him also has to keep him on the major league roster, or expose him to waivers to try to get him to the minors.