Levi Johnston, Sarah Palin

Looks like there won't be a Palin-Johnston Thanksgiving after all.

Days after 2008 Republican vice presidential candidate Sarah Palin's Thanksgiving invite to Levi Johnston hit the web, the father of her granddaughter tells Playgirl he isn't buying it.

Levi Johnston shows his hockey stick for Playgirl shoot

"He said 'you could tell by her laugh she was full of it,'" Daniel Nardicio, Playgirl's director of marketing, told Us.

According to the magazine, Johnston, 19, said it was "a nice gesture but she didn't mean it." Nardicio also tells the magazine Johnston said it would be "awkward" if he actually showed up on Turkey Day.

Sarah Palin takes aim at "badgering" Katie Couric in memoir

Johnston, who is the father of Palin's grandson Tripp, and the former governor of Alaska have been embroiled in a heated, very public war of words for months. Johnston told the Today show in July that Palin's fame "got to her head." Palin recently called Johnston "desperate" for agreeing to pose nude for Playgirl.

However, in a clip previewing her sit-down with Oprah Winfrey this Monday, Palin seemed to change her tune on Johnston, and extended him an invite for Thanksgiving. "Levi is a part of the family," Palin said. "This can all work out for good ... we don't have to keep going down this road of controversy and drama."