The 37-year-old star, who has apparently split with the Oscar-winning actress last month, will not appear on the red carpet, reported Contactmusic.
"Chris will do his usual, fly-under-the-radar thing that he used to do with Gwyneth Paltrow his now estranged wife," a source said.
Lopez, 24, was spotted at the Malibu home of the singer for a heart-to-heart meeting last week and it is believed that they've been together since the weekend.
"They've mostly been holed up at Chris' house, and there were rumours that they were at one of Jen's regular haunts, Chateau Marmont, earlier in the week.