Former New York City Mayor Rudy Giuliani introduces Republican presidential candidate Donald Trump at a rally on August 18, 2016 at the Charlotte Convention Center in Charlotte, North Carolina.

Special counsel Robert Mueller's office plans to complete its probe into alleged obstruction of the Russia inquiry by President Donald Trump by Sept. 1, the president's personal lawyer told The New York Times in an interview published Sunday.

While Mueller's ongoing broader probe is expected to continue, it suggests investigators may seek to avoid influencing public opinion ahead of the 2018 midterm elections.