Hostess Brands "Twinkies" are on display in a supermarket in Kansas City, Kan., in this November 16, 2012 file photo. The last shipment of Hostess-baked Twinkies are headed to supermarkets in Chicago Tuesday.

Hostess Brands "Twinkies" are on display in a supermarket in Kansas City, Kan., in this November 16, 2012 file photo. The last shipment of Hostess-baked Twinkies are headed to supermarkets in Chicago Tuesday.

If you're craving a Twinkie (and you're in the Chicago area), you may have one more chance to get a box of the Hostess-baked cakes, but you have to be fast and lucky.

The last Twinkies shipment from the bankrupt baker will hit Chicago area Jewel-Osco supermarkets Tuesday morning, Hostess spokesman Tom Becker told TODAY.

Over 20,000 boxes were in the shipment from the Twinkies plant in Columbus, Ga. They will sell for regular retail face value ($3.59 for a box of 10) until supplies run out, with no per customer limit. Jewel-Osco posted a delivery schedule on their Facebook page with the locations of all their stores that will receive the final batch of creme-filled delights and their expected time of delivery.

After this final batch of Twinkies runs out, there will be no more Twinkies on store shelves until (if and when) the brand is bought and restarted. Twinkies lovers will have to turn to secondary markets like eBay, Craigslist, or some guy selling them out of a storage locker he's stacked full of hoarded Twinkies.

When negotiations with its unions failed this winter, Twinkies-maker Hostess declared bankruptcy and began liquidating the company. Having received hundreds of inquiries from interested buyers, it's likely that much like the product itself, Twinkies will never die. They just might not be baked or delivered by union hands, and those hands might not be American.

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