Vice President Mike Pence Michael (Mike) Richard PenceGOP short of votes on Trump's controversial Fed pick Pence seeks to boost Daines in critical Montana Senate race The Hill's Campaign Report: Trump's rally risk | Biden ramps up legal team | Biden hits Trump over climate policy MORE will be interviewed on the Sunday morning political shows this weekend on ABC, NBC, CBS, and Fox, but is skipping CNN.

Deputy adviser Sebastian Gorka is the only member of the Trump administration to have appeared on the network recently, in the wake of the president’s ongoing feud with the network.

Gorka was a guest of Jake Tapper's on "The Lead" on Thursday. Tapper is also the host of CNN's Sunday political program, "State of the Union."

A CNN spokeswoman confirmed to The Hill that the White House had offered up Trump senior adviser Kellyanne Conway for Sunday, but said the network declined the offer.

CNN media critic Brian Stelter questioned whether TV networks should book Conway in a tweet promoting his column about her incorrect claim of a "Bowling Green Massacre" by Iraqi refugees. Conway has since acknowledged such a “massacre” never happened, saying she misspoke.

Some critics say TV networks should think twice before booking Kellyanne Conway. What do you think? https://t.co/u1qBe0Xd9r — Brian Stelter (@brianstelter) February 3, 2017

Earlier this week, Tapper told his audience that the administration had not offered officials for "State of the Union" interviews since Jan. 8, before Trump was inaugurated.

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At a press conference in New York more than three weeks ago, Trump called CNN White House correspondent Jim Acosta "rude" and blasted the network as "fake news."

"Your organization is terrible," Trump told Acosta when he repeatedly attempted to ask a question.

"You're attacking us, can you give us a question?” Acosta replied.

"Don't be rude. No, I'm not going to give you a question. You are fake news," Trump responded, before calling on another reporter.

Trump has since repeatedly referred to CNN as "fake news,' including during an Martin Luther King event with African-American leaders on Wednesday.