Haibat al-Halbousi said he made the call to the coalition in its capacity as the largest parliamentary bloc.
A day earlier, Iraq’s newly elected President Nizar Amedi made a similar appeal, urging the coalition to expedite naming its nominee for prime minister.
The development comes amid the Coordination Framework’s repeated failed efforts to agree on an alternative to their initial candidate, Nouri al-Maliki, after opposition from Donald Trump prompted coalition members to reconsider their decision.
Iraq held legislative elections in early November, and in late December, parliament elected its speaker and two deputies.
On April 11, parliament elected the Patriotic Union of Kurdistan (PUK) nominee, Amedi, as president. Under the constitution, once sworn in, the president has up to 15 days to task the nominee of the largest parliamentary bloc - the Coordination Framework - with forming a government.
However, the process has so far been marked by internal divisions among the alliance’s 12 constituent parties, which have yet to agree on a single candidate for prime minister, as the constitutional deadline is set to expire on Monday.