The six-member JIT set up in May by the Supreme Court is investigating the Sharifs for allegedly failing to provide the trail of money used to buy properties in London in 1990s.
The JIT questioned Sharif, his daughter and two sons, and several of his family members, close aides and top current and former officials.
It is expected to submit it report on July 10 at the completion of a 60-day deadline.
"The JIT report will be compromised without his (Qatari prince) statements and we will not accept it," Defence Minister Khawaja Asif, Railways Minister Khawaja Saad Rafique, Petroleum Minister Shahid Khaqan Abbasi and Minister for Planning and Development Ahsan Iqbal said.
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Al-Thani in two letters written to Supreme Court revealed that late Muhammad Shairf, father of Nawaz Sharif, had invested 12 million dirham in real estate business of the royal family.
However, opposition parties allege that the London properties was bought through ill-gotten money in 1990s when Sharif served twice as Pakistan's prime minister.
During the week, local media reported that two members of the JIT has gone to Qatar to record his statement but it later emerged that the they had gone to UAE for official work.
It for the first time that PML-N has indicated that it might reject the report. But any such action may result in widespread unrest in the country.