(CNN) - The White House carefully continued its assault on Fox News Tuesday, as a senior White House adviser told CNN's Campbell Brown that the network was "of course" biased against the Obama administration, but immediately backtracked slightly.

Speaking at the Women's Conference in California, White House Senior Adviser Valerie Jarrett said the Obama administration is "calling everybody out" when it comes to "patterns of distortion" - echoing the Democratic National Committee's "Call 'em Out" campaign that targets critics of the president's health care plan.

To the question of whether Fox News is biased, Jarrett replied: "Well, of course they're biased. Of course they are."

But when Brown followed up by asking Jarrett if she thinks MSNBC is biased, she quickly downplayed her original remark. "Actually, I don't want to generalize all of Fox is biased or that another station is biased. I think what we want to do is look at it on a case-by-case basis," she said. "When we see a pattern of distortion, we're going to be honest about that pattern of distortion....

"We're actually calling everybody out. So this isn't anything that's simply directed at Fox. We just want the American people to have a really clear understanding," said Jarrett.

Watch Campbell Brown's interview with Valerie Jarrett Tuesday beginning at 8 p.m. ET on CNN