Jessica Simpson -- Baby Suite is Sweeeeeeeeet ... for a Cool $4,000 a DAY!

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.