"I think we've wasted enough time on this witch hunt and the answer is probably: We're finished," Trump said. He said that he had given "very complete answers to a lot of questions" and that "that should solve the problem".
Trump said on Saturday that he had answered a set of written questions from Mueller "very easily". The President told Wallace that it "wasn't a big deal" and that he expects his legal team to submit the answers "at some point very soon".
Trump's answers had long been sought by Mueller during the course of his 18-month-old investigation. The probe has led to charges against 32 people, including 26 Russians. While four aides to Trump have pleaded guilty to various charges, Mueller's team has not given any public indications as to whether it has concluded that Trump associates conspired with the Russians or whether the president obstructed justice.
During today's wide-ranging interview, Trump said he does not feel it is necessary for him to listen to an audio recording of journalist Jamal Khashoggi's killing inside the Saudi Consulate in Istanbul last month.
"We have the tape. I don't want to hear the tape. No reason for me to hear the tape," Trump said. He described it as "a suffering tape" and told Wallace, "I know everything that went on in the tape without having to hear it. ... It was very violent, very vicious and terrible."
The CIA has concluded that Saudi Crown Prince Mohammed bin Salman ordered the killing of Khashoggi, a prominent critic of Saudi leaders and a contributing columnist to the Washington Post.
But Trump maintained on Fox News Sunday that the crown prince had told him "maybe five different times" and "as recently as a few days ago" that he had nothing to do with the killing. Aides have said that Trump has been looking for ways to avoid pinning the blame on Mohammed.
"Well, will anybody really know?" Trump said when asked whether the crown prince might have been lying to him. He added: "You saw we put on very heavy sanctions, massive sanctions on a large group of people from Saudi Arabia. But, at the same time, we do have an ally, and I want to stick with an ally that in many ways has been very good."