While her sister Kourtney is busy with her new baby, Khloe Kardashian is relaxing, taking the opportunity to go on her belated honeymoon.

The socialite - who married Lamar Odom last September - is taking a belated post-wedding trip to Cabo San Lucas now the basketball star’s season is over. The couple plan to fly out from Los Angeles on a private jet and will be staying on a compound belonging to family friend Joe Francis.

“They picked Joe’s place because they knew it would be very private and security would be tight there. They want to spend time alone,” a source said.

However, the couple - who are reportedly set to get their own reality TV show - will spend less than a week alone together as the rest of the socialite’s family are to fly out to join them to record new footage. “They are going to do some taping for the reality shows,” the source added.

Khloe recently splashed out $400,000 on a new car for Lamar to congratulate him on his team the Los Angeles Lakers winning the NBA championships. Khloe’s mother Kris Jenner revealed, “It’s a brand new 2010 Rolls Royce… drop-top coupe, white on white. It was a Lakers championship present. Fabulous!”