Jessica Simpson's new baby girl arrived in the lap of luxury ... 'cause the hospital she was born in offers the crème de la crème of birthing suites --  if you open your wallet wider than a birthing uterus.

We're told Cedars-Sinai offers several VIP suites for pocket heavy new moms, but it's NOT the $500k mentioned in some reports. 

The BEST suite you can snag -- a 3-bdrm, 2-bath private pad within the hospital -- will run $3,784 a day ... more than what Beyonce spent  -- $3,200 a night --  on her luxury, 4 bedroom birthing suite.


All that green goes a long way ... Jessica's suite boasts flat screen TV's, chilled juices on ice, muffin baskets, manis & pedis for wiped out new moms and a private dinner for two post-labor.

Simpson just delivered baby girl -- Maxwell Drew Johnson -- this AM, weighing in at 9 pounds, 13 ounces.

The Jessica Simpson baby countdown is finally over -- because she just gave birth to a bouncing baby girl ... who weighed 9 pounds 13 ounces and measured in at 21.75 inches!!!

The kid's name is Maxwell Drew Johnson -- which is pretty normal by celebrity baby naming standards.

Jessica and her fiance Eric Johnson decided to use the name Drew because it's Jessica's mother's maiden name.

Jess just released a statement on her website ... saying, "Eric and I are elated to announce the birth of our baby girl Maxwell Drew Johnson."

"We are so grateful for all of the love, support and prayers we have received. This has been the greatest experience of our lives."

It's been 87 months in the works ... but IT'S FINALLY HAPPENING ... Jessica Simpson and several members of her family arrived to an L.A. hospital this morning ... because it's BABY TIME!!!!

Jessica, her mother Tina and her sister Ashlee just arrived to the hospital ... along with Eric Johnson's parents.

Jessica has looked like she's been ready to pop for weeks ... but the little Johnson inside her wasn't ready to come out.

It's POSSIBLE Jessica has already given birth ... but we just don't know yet.

So far, no word from Jessica's people.


9:00 AM PT -- Toldja so ... Jessica and her fiance just announced the birth of their baby girl Maxwell Drew Johnson.