That's according to a person familiar with the plans who wasn't authorized to discuss them publicly and spoke to The Associated Press on condition of anonymity.
Barr has a confirmation hearing before the Senate Judiciary Committee next week and could be confirmed within weeks.
Once confirmed, Barr would assume oversight of the probe.
The person familiar with the plans said there was no specific date for Rosenstein's departure. It is common for attorneys general and other Cabinet secretaries to have their own deputies.
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