In "Shit That Shoulda Been Done Happened" news...Jessica Simpson rushed to hospital!

It's been 87 months in the works (the shade of it all.) ... but IT'S FINALLY HAPPENING ... Jessica Simpson and several members of her family have arrived to an L.A. hospital ... where she is expected to finally give birth!!!

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

About damn time, girl. That baby's gonna come out with a Master's in Architectural Science from Harvard.


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."