White slips get processed first, but I would think that you would want to Swap with the Pot if you have a conflicting trip.
The question is if you are trading from a 2 to 3 day or 3 to 4 day...there is a good chance it will go through. Trading down from a 3 to 2 day or a 4 to a 3 day...there has to be adequate reserves avail.
You can run it through the Rules Auditor under Swap with the Pot to see if the trip will be legal on your line (dropping and picking up)