"Obviously I would like for as much as possible of the Mueller report to be open. I don't know enough about Justice Department regulations to know what part of that, you know, might make sense not to be disclosed," McConnell told reporters.

ADVERTISEMENT "I think it ought to be as fully open and transparent, whatever the recommendation is, as possible," he added.

McConnell was asked about the Grassley-Blumenthal bill but didn't indicate whether or not he supported it.

Currently under Justice Department guidelines, a special counsel sends a confidential report to the attorney general “explaining the prosecution or declination decisions reached” during an investigation.

But the Justice Department would likely face intense pressure from both parties to make at least part of Mueller's report public. The Russia probe has been a years-long drama and source of intrigue that has dominated much of the Trump administration.

Trump's attorney general nominee William Barr told members of the Senate Judiciary Committee during his confirmation hearing earlier this month that it was his “intent” to release as much about Mueller’s findings as he can consistent with the law. But he stopped short of pledging to release the report in its entirety.

“My goal will be to provide as much transparency as I can, consistent with the law,” Barr told lawmakers. “I can assure you that, where judgments are to be made, I will make those judgments based solely on the law and I will not let personal, political or other improper interests influence my decision.”

Democrats have raised concerns that Barr, or Trump, could try to block the report from being released.