For my two cents, it would involve the Dodgers sending a player with a big salary plus a big prospect in order to free up luxury tax cap space.
If we are talking White Sox and Dodgers for example, it could look something like Matt Kemp + Christian Santana for another Jake Peter type prospect to LAD. Sox take on a ton of cash this year (Kemp at $21m for this year, prorated though) , plus free up a spot for the Dodgers to make room for salary this year for Manny Machado (Machado at 16m, but prorated from the completion of a trade) to keep them from going over the luxury tax # this season. Also opens up a spot for a guy someone to go the OF, while Machado takes over an IF spot.
NO IDEA if this works perfectly or not, but just a demonstration of an example that could work in theory. Definitely don't know either teams interest in a deal like this.