Politico and the Washington Post quoted Mr Priebus's lawyer William Burck as saying the interview with members of Special Counsel Robert Mueller's team was voluntary.
"He was happy to answer all of their questions," Mr Burck said.
Mr Priebus himself did not comment but Politico said he had been preparing for several weeks for the interview.
President Trump has not been accused of any wrongdoing, but Mueller's team has shown interest in the president's firing of former FBI director James Comey over his Russia probe, according to the reports.
Mr Priebus participated in meetings where Mr Comey's firing was discussed, and played a key role in the White House as well as during the campaign as head of the Republican National Committee.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)
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