"The most suitable candidate, approved by the majority of the Council of Experts, has been determined," said Mohsen Heydari, a representative from Khuzestan province, according to the pro-regime news agency Isna.
Another member, Mohammad Mehdi Mirbagheri, confirmed in a video from the Fars news agency that the council had reached "a firm opinion that reflects the majority view."
Ali Khamenei's son, 56-year-old Mojtaba Khamenei, has been identified as a likely successor and favorite.
US President Donald Trump has said in an interview with Axios that he wants to have influence over who will be Iran's next leader and that he considers Mojtaba Khamenei to be "unacceptable."
Israel's military has warned that "any successor and anyone who attempts to appoint one" will be considered military targets.
The new leader will be the third in a row since the 1979 Islamic revolution - which essentially turned Iran into a religious dictatorship. The Council of Experts consists of 88 religious leaders.
