07/26/2013 at 08:05 AM EDT
Six weeks after the June 15 birth
of her baby girl
North, Kim Kardashian
has "lost a lot of her baby weight," says a source close to the star.
"She's feeling great and looking forward to getting back in shape."
Kardashian, still happily ensconced
in mama Kris Jenner
's pad, is eating light and healthy thanks to the Jenners' private chef and enjoying "settling into a routine with her daughter," says the source.
"She's happy with the way she looks but she knows she still has a way to go to get her pre-baby body totally back."
And, in decidedly un-Kardashian fashion, the brand-new mom, 32, has yet to show off a photo of either herself or North, much to the dismay of Twitter and Instagram followers worldwide.
Come on, Kim – we're waiting!