Qorei put together his new list after a meeting of the dominant Fatah faction's central committee convened after Monday's aborted parliamentary session when he had hoped to win the approval for his 24-strong team.
"There will only be two members from the legislative council on the new list," current minister without portfolio Qaddura Fares told reporters.
Parliamentary officials said Qorei would present the line-up to MPs for approval on Wednesday.
"We will convene (parliament) tomorrow," said Fatah MP and central committee member Abbas Zaki.
"A totally new government will be presented to us. It's a government of technocrats with only two MPs ... The central committee of Fatah decided that such a government is needed to respond to the needs for reforms at all levels."
While Qorei had only wanted a limited reshuffle, it is understood that Fatah and Mahmud Abbas, who succeeded the late Palestinian Authority president Arafat in January, had been pushing for more wholesale changes.
Fatah sources said they expected negotiations minister Saeb Erakat and foreign minister Nabil Shaath, set to become deputy prime minister, to be the two MPs who remain in cabinet.
Reformist finance minister Salam Fayad would likely keep his job as he is not an MP nor a member of Fatah.
The current Palestinian representative to the United Nations, Nasser al Qidwa, is also still expected to become foreign minister, while Nasr Yussuf should be made interior minister as planned, as both are not MPs.
Meanwhile, Israeli Prime Minister Ariel Sharon was also facing a challenge to his authority after 26 of the 40 MPs from his own Likud party signed a petition demanding his Gaza Strip pullout plan be put to a referendum.
Finance Minister Benjamin Netanyahu and Education Minister Limor Livnat were among the signatories to the petition published in the Haaretz daily, two days after the cabinet gave its approval to the uprooting of the Gaza settlers.
"Only a referendum can prevent a fracture at the heart of society," said the signatories while emphasising that some of them supported the pullout which should start in July and last around seven weeks.