Backers of Boakai's opponent, soccer star George Weah, said on Thursday he was poised to declare victory in presidential election after their data showed him winning more than 60 percent of the vote - an assertion dismissed by his rival.
Commission chairman Jerome Korkoyah said Weah won with 61.5 percent of the vote, based on 98.1 percent of ballots cast.
Final results and declaration will be made tomorrow.
The tumultuous events of the past 70 years in Liberia, where an estimated 250,000 people died during back-to-back civil wars between 1989-2003, have prevented a democratic handover from taking place since 1944. He was also allegedly supported by President Sirleaf. The new president is expected to take office in January. He also appealed for unity, saying: "My love for the country is far (more) profound than my desire for the presidency. Just like the rest of the world, we will await the results of the run-off as declared by Liberia's Electoral Commission", the statement added.
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Weah has won several worldwide and continental awards including the African Footballer of the Year Award on multiple times.
He has drawn some criticism for picking Jewel Howard-Taylor, the powerful ex-wife of former warlord and president Charles Taylor, as his vice-president.
His was already an inspirational story to a generation of Africans: he grew up in Clara Town, a poor suburb of Monrovia, and played football across the river in West Point, Liberia's biggest informal settlement, where he still has a large fanbase.
State radio correspondents reported unofficial results overnight indicating that former global soccer player George Weah led in several counties, but election authorities warned the two parties to "stop making premature pronouncements".
The US-based Carter Centre said there were "notable improvements" in the handling of Tuesday's vote from the first round in October, echoing positive assessments from other global observers.