My great-aunt Hilda, who was a stickler for proper syntax and baker of sinfully sweet treats, was prone to state upon completion of a meal: "I'm replete." It was almost as if she were daring us kids to try "I'm full" or, even worse, "I'm stuffed!" instead. A search on State + Sate brings up 23 records in OhioLINK, proving that even when you think you're all done, there are often a few more plates to be cleaned. (Just (too many) desserts from Wikimedia Commons.)
By the way, the expression is "just deserts," not, as commonly supposed, "just desserts," and if there are grammar and cookies in Heaven, I'm sure my relative is getting hers there.