A singing ensemble of U.S. combat veterans, the 4T Troops, were allegedly barred by Joe Simpson from performing on TV alongside Jessica Simpson, 30, with a source claiming to Page Six that her team felt their camouflage attire wouldn't look good on camera next to the decked-out beauty.

Simpson, in New York City with her boyfriend Eric Johnson, was taping a PBS holiday special on Thursday (a broadcast on which she'll sing tunes from her upcoming album) when the alleged snub occurred.

"Jessica's dad, Joe Simpson, effectively kicked them off the show because he didn't like what they were wearing," says the insider. "They were in camo pants and blazers, the same outfits they wore to sing for Gen. David Petraeus on the USS Intrepid. They were told they couldn't perform unless they were wearing tuxedos."

But there are two sides to every skirmish: Jessica Simpson's spokesperson tells PopEater the singer is innocent, and would never diss any members of the military.

"The song was cut due to time. Jessica wasn't even aware. She is wholeheartedly devoted to the troops -- she just returned from the Persian Gulf where she performed for, and met with, service men and women stationed at several different locations. Last night, she received a Silver Star Award for her work with AFCEF (Armed Forces Children's Education Fund)."