Kim Kardashian and Kanye West aren't committed  in matrimony ... but they ARE committed in 11 million (and one) other ways -- TMZ has learned the duo just bought an $11 MILLION  MANSION!

Sources close to K & K tell TMZ ... the future  parents are now the proud owners of a 10,000-square-foot pad in an über-private,  gated community in Bel Air, CA.

Kim and Kanye have owned the house for a  few weeks ... and they've already gutted it and are designing a  14,000-square-foot dream home in its place.

The new home will be an  Italian-style villa  ... with a gym, movie theater, full hair and makeup  salon, bowling alley, basketball court, indoor and outdoor pool ... oh and  probably a baby nursery. Just a hunch.

Not included ... a wedding  date.  We're told there are no plans.

FUN FACT: Kim & Kanye's new neighbors will include Jennifer Aniston, Chris Paul, and Joe Francis.

Read more: http://www.tmz.com#ixzz2HNrnxZff