President Trump is open to making the letter the White House sent the FBI defining the scope of its investigation into Supreme Court Justice Brett Kavanaugh available to the public.

"I would do whatever really the Senate wanted because, look, the Senate was well run, so well run by Sen. Grassley," Trump said late Wednesday evening during an interview on Fox News, referring to Senate Judiciary Committee Chairman Chuck Grassley, R-Iowa. "Whatever they would like to do is okay with me. If they want to release, it's okay. If they don't want to release, I can understand that also."

Democrats have criticized the FBI's supplemental background check into Kavanaugh, requested before the Senate voted on his nomination, amid multiple allegations of sexual misconduct. Democratic lawmakers have complained the inquiry was limited in scope and lacked thoroughness, threatening to launch their own probe should they regain control of the House after the 2018 midterm elections.

[Related: It’s not over: Democrats vow to investigate Kavanaugh]

Trump on Wednesday readily accepted praise that he had maintained his composure as Kavanaugh's confirmation was roiled by the claims made against him by three separate women. The justice has vehemently denied all the accusations.

"I'm glad we took the extra week and you know people have said I was restrained and I think that's good," Trump said. "I was restrained also because the Senate really was doing their job as they were supposed to."

Kavanaugh started work as a Supreme Court justice this week after he was sworn in over the weekend.