The chief Philippine negotiator, defence undersecretary Pio Lorenzo Batino, said in a statement the latest round of discussions about an increased US military presence in the country was "very productive".
"This round brought us much closer to finding full consensus and the draft provisions on key points of an enhanced defence cooperation will be submitted to the president for his review," Batino said.
Philippine negotiators on Friday said the eighth round of talks on a proposed military agreement had seen both sides "finding consensus on key points of a draft".
The agreement proposes allowing more US troops, aircraft, and ships to pass through the Philippines, as well as storing equipment in this country that could help mobilise American forces faster - particularly in the case of natural disasters.
The accord would provide "critical and timely support to the modernisation of the Armed Forces of the Philippines (and the) achievement of the country's minimum credible defence posture," Batino's statement said.
The deal would not allow the US military to "establish a permanent military presence or base" or bring nuclear weapons into the country, in line with the Philippine Constitution.
The proposed agreement could be signed before President Obama visits the Philippines this month, a foreign department spokesman said.
"We aim to conclude the negotiations before the Obama visit," foreign department spokesman Charles Jose told AFP.
Washington has said Obama will visit the Philippines at the end of April as part of a four-nation tour of East Asia.
The United States had two large military bases near Manila until 1992, when it gave both up amid growing anti-US sentiment and a rental dispute.
However the Philippines has been seeking greater US support in recent years after China began asserting its claim to disputed territory in the South China Sea.
China claims almost all of the strategically important body of water, even up to the coasts of its neighbours.
Last month, Chinese ships blocked Philippine vessels that were bringing supplies to a Philippine military outpost, and in January Chinese ships used water cannon on Filipino fishermen near a disputed shoal.
The Philippines has responded by filing a case with a United Nations tribunal to challenge China's territorial claim.
China has refused to participate in the case and has warned that the Philippines' action has "seriously damaged" bilateral ties.