According to UsMagazine.com, the 33-year-old went to the opening of the Kardashian sister's new clothing store Dash yesterday in New York City.
West and the 30-year-old socialite started speculation about their relationship when she went to his Chicago Runaway premiere last month and when he attended her recent private birthday bash.
Although a source told the entertainment website: 'They are just friends, everyone says they would be cute together, but there's no spark.'
After the event, Kim took to her Twitter page to thank fans for supporting on the night.
The Keeping Up with the Kardashians star wrote: 'Thank you to all of our amazing fans who came out to support Dash NYC.
'U really mean the world to me and my sisters! U are the reason we exist!'