Kim Kardashian might be the last person on the planet who needs free baby stuff ... but that's not stopping one primo baby boutique from aiming to get its goods in her famous hands.

A rep from Bel Bambini -- a celeb-magnet baby shop in West Hollywood -- tells TMZ, the store sent Kim a gift card for $1,000 the second they heard she was knocked up.

Not only that, BB -- who did the registries for Kourtney Kardashian's spawn as well -- says it'll be giving Kim even more baby goods to outfit her nursery ... just like it did for Kate Middleton's fetus.