I would advise the President not to chance it, but instead to name his own Special Counsel as presidents from US Grant to Harry Truman did. And I would advise the President to do so with Congressional leaders and invite them to reauthorize themselves to name a Special Counsel and then to agree with him on a candidate.
That sounds like a sound strategy, but one that should have been done many months ago. Trump hasn’t been getting the best advice, apparently.