A sportsman told InTouch magazine that the two had a flirty relationship, entirely conducted via text message.
But Kim Kardashian has reacted angrily, with her lawyer firing off a letter to the magazine accusing it of publishing a ‘false story and article’.
The magazine backs its claims with a series of relatively harmless undated texts it claims a friend saw on Lockett’s phone.
In one it alleges she told him ‘You should SEND me a sexy picture.’
There is no suggestion that the two ever met – with the ‘affair’ an electronic affair.
Kim is alleged to have asked a friend to get Lockett’s number for her from his brother.
Lockett told the magazine: ‘She pursued me.’
InTouch published the report under the headline: ‘Kim caught cheating.’
Kim recently celebrated her engagement to basketball star Kris Humphries, who she has been dating for six months.
The two are said to be planning a summer wedding.
Kim, currently in London promoting her various business lines, made what appeared to be a veiled reference to the reports on her Twitter page today.
She wrote: ‘Remember, people only rain on your parade because they’re jealous of your sun & tired of their shade.’