10/07/2009 at 04:05 PM EDT
Khloe Kardashian and Lamar Odom have been inseparable ever since they exchanged vows
in L.A. on Sept. 27, just a month after they began dating.
But when the Kourtney & Khloe Take Miami
star, 25, traveled to New York City Monday to tape a guest co-host spot on The View
, which will air on Friday, she and Odom, 29, were faced with separation anxiety. "We have only spent two nights away from each other since we met," Khloe says on The View
When Kardashian landed in New York, she spoke with Odom, who asked, "You brought your laptop, right?" But Kardashian hadn't brought one – so and the ever-resourceful Odom suggested she visit the 24-hour Apple store in midtown Manhattan and buy a MacBook so they could chat using the computer's Webcam.
A source says Kardashian, "on a total impulse buy, went to the Apple store to buy a computer at like 1 a.m.!"
And both Kardashian and Odom seemed happy with her purchase: "They chatted until 5:30 a.m., and then she napped before going to co-host The View