By Daily Mail Reporter

PUBLISHED: 20:54 EST, 16 July 2013 | UPDATED: 05:56 EST, 17 July 2013

Kim Kardashian has apparently made her first public outing following the birth of her daughter.

The reality star had been keeping a low profile over the last month while she settled into motherhood with baby North West, who she gave birth to on June 15.

But the 32-year-old was allegedly spotted as she tried to travel incognito in her nanny's car in Southern California.

An onlooker told Radar Online: ‘Kim looks amazing, she really does. She's dropped a lot of the baby weight already.

‘Not to say she still doesn't have a ways to go, but she looked slim and was glowing.’

Kim and boyfriend Kanye West are yet to give the world a first glimpse of their child and the star made sure no one caught a peek during the outing.

The source continued: ‘As for the baby, Kim and her helper kept a blanket over North's car seat so nobody could catch a glimpse.’

Kim's outing is the first time she has been spotted in public since giving birth to North prematurely, but reports suggest the normally publicity eager star has been getting claustrophobic at home.

A source said: ‘Kim is excited to have the whole world see her baby, she is saying that she knows that everyone will love her as much as she does and she wants people to see how beautiful she is.’ 

It was not, however, little North’s first reported outing.

It was claimed earlier this month that Kim took her newborn to stepfather Bruce Jenner’s Malibu beach house where he was hosting a family Fourth of July party.

The world is waiting with bated breath for Kim to be photographed with her youngster for the first time, after they were released from hospital together on June 21.

The star’s mother Kris Jenner teased fans by stepping out with a baby on the debut of her talk show Kris this week, but it was revealed to be only a prop.