Michigan Rep. Justin Amash Justin AmashInternal Democratic poll shows tight race in contest to replace Amash Centrist Democrats 'strongly considering' discharge petition on GOP PPP bill On The Trail: How Nancy Pelosi could improbably become president MORE (R) says that allegations made this week by Michael Cohen, President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE's former longtime attorney, are "serious" and deserve consideration by members of Congress.

But Amash cautioned that impeachment requires a "high standard" of evidence and should not be undertaken lightly.

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"Many of the allegations against @POTUS are serious and should be taken seriously, especially by members of Congress," the congressman and frequent Trump critic tweeted Thursday afternoon.

"We should allow Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE to complete his investigation and issue his report before taking any action potentially affecting the president’s tenure," Amash continued.

"I believe that a very high standard must be met to overturn the results of an election," he said. "I hope that we don’t get to this point, but I think it’s important, given recent news, that members of Congress share their thoughts on this matter with the people they represent."

Many of the allegations against @POTUS are serious and should be taken seriously, especially by members of Congress. — Justin Amash (@justinamash) August 23, 2018

I hope that we don’t get to this point, but I think it’s important, given recent news, that members of Congress share their thoughts on this matter with the people they represent. — Justin Amash (@justinamash) August 23, 2018

Cohen wrote in court filings this week, upon submitting a guilty plea on charges of bank and tax fraud, that he was directed by then-candidate Trump in 2016 to make payments to Stormy Daniels and Karen McDougal, two women who were threatening to come forward with allegations of affairs with Trump.

The admission from Cohen follows denials from the president himself as well as administration staffers over whether the president knew anything about the payments, which are under investigation as possible unreported campaign donations.

A number of Democrats are claiming that Cohen's confession, as well as the conviction of former Trump campaign chairman Paul Manafort Paul John ManafortOur Constitution is under attack by Attorney General William Barr Bannon trial date set in alleged border wall scam Conspicuous by their absence from the Republican Convention MORE on the same day this week, are proof of rampant corruption within Trump's campaign and administration.

Amash and other Republicans have urged the administration to let the special counsel investigation into allegations of collusion between the Trump campaign and Russia continue amid the news.