"It's easy to not make it work, but I am so blessed to have someone who loves me and wants to make it work," the reality star, 25, told PEOPLE Saturday at sister Kourtney's birthday pool party at Wet Republic in Las Vegas.
Kardashian was just in Oklahoma City to see her husband and his Los Angeles Lakers in the NBA playoffs against the Oklahoma City Thunder. She left Oklahoma to celebrate with her sisters in Vegas, sipping Bombay Sapphire cocktails in the sun.
Kardashian was sporting a large sparkling necklace bearing Odom's initials, and her mind wasn't far from her husband. "We definitely see each other a lot," she says. "I love our situation."
The other thing that comes in handy in her marriage: a newfound love of basketball. "I've never been into basketball until now," she says. "So, for me to be as into it as I am is cool. Weird, but cool."