Trump's lawyer, Rudy Giuliani, has previously argued that the President could end the Russia probe if he wanted to.
But it is unclear how Trump would be able to run the investigation, which is examining, in part, whether there was any collusion between Trump's 2016 campaign and Russia and whether Trump sought to obstruct justice.
In his interview with Reuters, Trump also voiced concern that if he agrees to sit down with Mueller, any statements he makes could leave him vulnerable to charges of perjury.
Trump pointed to the possibility of a conflict between his own testimony and that of former FBI Director James Comey, one of his most vocal critics.
"So if I say something and he (Comey) says something, and it's my word against his, and he's best friends with Mueller, so Mueller might say: 'Well, I believe Comey,' and even if I'm telling the truth, that makes me a liar. That's no good," Trump said.
Giuliani made a similar argument. In an interview on NBC's Meet the Press, he told host Chuck Todd that "truth isn't truth," a remark that he clarified was intended as a reference to a situation in which two people make statements that contradict each other.