Senate Republicans are rushing to distance themselves from President Trump's support for a fall shutdown.

Several GOP senators said Tuesday that they don't back shuttering the government in September even as the president endorsed the idea on Twitter during a series of early morning tweets.

"Obviously I disagree with that. No, I don't think there's a good government shutdown. ... Really it shows our inability to solve our nation's problems in a normal way," Sen. Bob Corker Robert (Bob) Phillips CorkerHas Congress captured Russia policy? Tennessee primary battle turns nasty for Republicans Cheney clashes with Trump MORE (R-Tenn.), the chairman of the Senate Foreign Relations Committee, told reporters.

Sen. John McCain John Sidney McCainCOVID response shows a way forward on private gun sale checks Trump pulls into must-win Arizona trailing in polls Nonprofit 9/11 Day bashes Trump for airing political ads on Sept. 11 anniversary MORE (R-Ariz.) separately said there wasn't an appetite for a shutdown or changing the filibuster rules on legislation. Asked if Trump should stop tweeting, McCain responded, "I wish he would think twice before he tweeted."

Lawmakers face a Friday night deadline to avoid a government shutdown after passing a one-week funding extension. They will face a second deadline in the fall to pass the fiscal year 2018 bill or a short-term continuing resolution by Oct. 1 and avoid another potential shutdown.

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Republicans, who control the White House and hold a majority in both chambers of Congress for the first time in a decade, have been eager to show they can govern, with GOP leaders repeatedly downplaying the possibility that they will miss the funding deadlines.

Sen. John Cornyn John Cornyn'Top Chef' star Tom Colicchio presses Congress to boost SNAP benefits during pandemic NJ governor designates Juneteenth as state holiday The Hill's Morning Report - Sponsored by National Industries for the Blind - Prudent or 'pathetic'? GOP senators plan to vote on coronavirus relief Thursday MORE (Texas), the Senate's No. 2 Republican, said on Tuesday that a shutdown would be an "abdication of responsibility, particularly if you're in the majority."

"Our voters, the people who elected Republican majorities in both Houses and elected this president, did not vote for us in order to shut down the government. They voted for us to govern, as hard as it is," Cornyn said from the Senate floor.

Sen. Jeff Flake Jeffrey (Jeff) Lane FlakeRepublican former Michigan governor says he's voting for Biden Maybe they just don't like cowboys: The president is successful, some just don't like his style Bush endorsing Biden? Don't hold your breath MORE (Ariz.), who was a vocal GOP critic of Trump during his campaign, hit back at the president on Twitter, writing, "No, we don't need a government shutdown."

Sen. Lindsey Graham Lindsey Olin GrahamGOP senators say coronavirus deal dead until after election Tucker Carlson accuses Lindsey Graham of convincing Trump to talk to Woodward Trump courts Florida voters with moratorium on offshore drilling MORE (R-S.C.) said while he was "pretty much" a no on the omnibus funding bill, he didn't think a government shutdown was ever "good."

"The bottom line is, no, I don't want to shut the government down," he told CNN.

Trump sparked renewed talk about a fall funding fight Tuesday morning when he hinted in a series of tweets that he could have gotten a better funding deal if he didn't have to negotiate with Democrats, whose support is needed to pass most legislation through the Senate.

The president also pushed for nixing the Senate filibuster — a call also being rejected by GOP senators — and for a "good 'shutdown' in September to fix mess."

either elect more Republican Senators in 2018 or change the rules now to 51%. Our country needs a good "shutdown" in September to fix mess! — Donald J. Trump (@realDonaldTrump) May 2, 2017

White House budget chief Mick Mulvaney played defense over Trump's tweet Tuesday while telling reporters he wasn't worried about the September deadline.

"I think the president's tweet was that we might [want] a shutdown at some point to drive home that this place, that Washington needs to be fixed," Mulvaney said.

The government previously closed in 2013 for 16 days over a push by conservatives to use the funding bill to defund ObamaCare, a move that was considered a nonstarter by Democrats and the Obama administration.