J. Dee Vance intends to negotiate directly with the Iranian security forces.
The US vice president is trying to end a conflict that has "become a burden" for the Republican Party.
According to sources in the "Wall Street Journal", in recent days, American leader Donald Trump told his aides and colleagues that he was open to the resumption of Vance's contacts with Iran and authorized him to negotiate.
Qatar's capital, Doha, is being considered as a possible location for the next round of consultations if Vance and officials from the Islamic Republic agree to meet.