Big-name Trump supporters are pushing for Robert Mueller to be fired

Some of President Trump's biggest supporters think special counsel Robert Mueller should be fired.

Following former FBI Director James Comey's testimony last week, there seems to be two different arguments being put forward as to why Trump should fire Mueller, who is currently heading an independent investigation into Russian ties to the Trump campaign.

Ann Coulter tweeted out, "Now that we FINALLY got Comey to admit Trump not under investigation, Sessions should fire Mueller. Why do we need a special counsel now?"

Click through Donald Trump Jr.'s heated reactions to Comey hearing:

While Comey's testimony did advance the idea that Trump wasn't himself under an FBI probe, He did say the special counsel's look into Trump does involve a possible obstruction of justice charge.

The other argument that people like conservative commentators Laura Ingraham and Byron York are making is about a potential conflict of interest.

They both talk about the close personal relationship Comey and Mueller have which could lead to a conflict.

And just a month after he tweeted his support for Mueller, Newt Gingrich walked back his praise of the special counsel, Tweeting, "Republicans are delusional if they think the special counsel is going to be fair. Look who he's hiring. Check FEC reports. Time to rethink."

On Sunday, one member of Trump's legal team said the President wouldn't rule out directing acting Attorney General Rod Rosenstein to fire Mueller.