Even some of President Barack Obama’s biggest boosters have seen enough of the ObamaCare rollout.

Fox News reports that celebrities are now being cautioned not to shill for the “historic” health care reform in the wake of a maelstrom of glitches that turned its web site into a national laughing stock.

One well-placed Hollywood agent told FOX411 that while Obama and ObamaCare are separate issues, and that you can support one without the other, public relations teams across the industry are cautioning their clients to now lay off the latter.

Will Funny or Die continue to peddle the product through its comic videos, or might the site’s operators (including Will Ferrell) have a change of heart? Can we expect stars like Olivia Wilde, Scarlett Johansson and Amy Poehler to keep spreading the word about ObamaCare on Twitter, or will they find other things to say in 140 characters?