Just ran through CT and finally got the Crimson gloves to drop.
I can't roll on them because my Armory Chest for gloves is full, as is my inventory (Need and Greed are disabled, if I click them it says "Insufficient Inventory Space").
Discarding a few gloves as well as some items doesn't fix the problem.
Apparently once it's decided your inventory is full, then that's it. No soup for you.
Very frustrating.