Prime Minister Benjamin Netanyahu will lift the ban for five days, and the government will determine whether the visits spur violence at a site holy to both Jews and Muslims.
During the interview on Israel's Channel 2, Jibril Rajoub also said that U.S President Donald Trump, presents "an opportunity" for both for the Palestinians and the Israelis.
Some visitors who toured the site sang Israel's national anthem as they left, angering guards and Muslim worshippers at the Al-Aqsa mosque, who tried to attack the tourists.