Housing and Urban Development (HUD) Secretary Ben Carson Benjamin (Ben) Solomon CarsonState AGs condemn HUD rule allowing shelters to serve people on basis of biological sex Biden cannot keep letting Trump set the agenda The Hill's 12:30 Report: Trump heads to New Hampshire after renomination speech MORE says special counsel 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 should be given a "chance" to conduct a fair investigation into possible ties between the Trump campaign and Russia.

"I would give him the chance to see if he could do that because if there's nothing there – he's not gonna find anything anyway," Carson told Fox News Radio in an interview Friday.

"That has been the case now for nearly a year – there's nothing to find, that's why they keep going down these empty rabbit holes. That will continue to be the case because there's nothing there,” Carson added.

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The Cabinet official called the investigation "frustrating," saying it was impeding the Trump administration’s productivity.

"It's frustrating because it keeps us from getting to the things that need to be done, and I'm not sure that that isn't the real reason for it,” he said.

Carson’s comments come as speculation mounts that Trump could attempt to fire Mueller, along with Deputy Attorney General Rod Rosenstein, who appointed Mueller to lead the Russia investigation last month.

The president appeared to lash out at Rosenstein in a tweet Friday lamenting a "witch hunt," saying he was under investigation for firing of FBI Director James Comey last month "by the man who told me to fire the FBI Director!"