updated 01/04/2012 AT 5:00 PM ET
•originally published 01/04/2012 AT 6:30 PM ET
Looks like two of Hollywood’s most famous Jessicas have a mutual admiration for one another.
Jessica Simpson – who is expecting her first child with fiancé Eric Johnson this spring – complimented Jessica Alba on her post-baby bikini body just five months after welcoming daughter Haven with husband Cash Warren.
“New goal: look like @jessicaalba after baby. Job well done lady!” Simpson, 31, Tweeted Tuesday.
Alba was flattered by the praise, responding on Twitter, “OMG! Ur so sweet! Thx hon!”
While the pals may soon be sharing post-pregnancy slim-down tricks, what about parenting advice?
“I’m friends with her so I’m going to talk to her about that personally,” Alba, 30, recently told PEOPLE.
Not only do Simpson and Alba have growing families (and a first name) in common, but also both have Ivy League loves, whom they joined at the Yale reunion in June.