The project has faced uncertainty since Mahathir Mohamad's coalition scored a shock victory at a May general election.
Authorities in Malaysia and the United States are investigating how billions of dollars went missing from 1MDB.
It was the latest pledge by the country's new reformist leaders to roll back repressive legislation introduced by scandal-hit ex-premier Najib Razak.
Mahathir Mohamad told Reuters in an interview that Malaysian investigators already "have an almost perfect case" against the principal suspects who had defrauded 1MDB.
The Malaysia Airlines jet vanished in March 2014 with 239 people -- mostly from China -- on board, en route from Kuala Lumpur to Beijing.
The question for Malaysia now is how Anwar Ibrahim will get along with Prime Minister Mahathir Mohamad, his ally-turned-foe-turned-ally, and what role he will play in government.
A four-party alliance driven by Mahathir and Anwar won the general election last week, ousting the ruling Barisan Nasional coalition for the first time in the history of the Southeast Asian nation.
Voters turned out en masse to oust Najib Razak after he was accused of involvement in plundering huge sums from Malaysian sovereign fund 1MDB in a sophisticated fraud that is now being investigated in several countries.
New Malaysian Prime Minister Mahathir Mohamad vowed on Sunday to review a controversial law against "fake news" hurriedly passed before the elections and seen as aimed at critics of his scandal-tainted predecessor.
In a huge political upset, former strongman Mahathir's opposition alliance broke the grip on power of the Barisan Nasional (BN) coalition, which had governed Malaysia uninterrupted since 1957.