(CNN) A bill that would protect special counsels such as Robert Mueller was once again not allowed a vote on the Senate floor Wednesday.

Republican Sen. Jeff Flake of Arizona and Democratic Sens. Chris Coons of Delaware and Cory Booker of New Jersey attempted to force the vote by unanimous consent, but that meant it could be blocked by just one senator, as Republican Sen. Mike Lee of Utah did Wednesday.

Senate Majority Leader Mitch McConnell has argued, as recently as Tuesday, that the bill is not necessary since he believes there is no indication President Donald Trump is moving to fire Mueller.

Flake disputed McConnell's argument in his floor speech ahead of his vote being blocked.

"Why shouldn't we be up in arms about this?" Flake said reading a few of Trump's recent tweets about Mueller. "Should we here in the Senate be okay with that? I argue no, we should not be."

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