Because he is a DH and they have a cheaper version with Burger who they are trying to fit into the lineup everyday. The problem with the White Sox is that they have a bunch of DH/1B playing the field in Burger, Jimenez, Vaughn and Sheets. At some point you have to get better defensively otherwise all that offense is wasted. They have Burger for two more years under pre arbitration and he doesn't hit arbitration until 2026.
If the White Sox can get some pitching and a better defender back in return for Jimenez for '24 it makes sense to trade Jimenez who would bring back a good pitching prospect along with a good positional prospect.