DoD spokesman George Little declined to comment on Pakistan's request, noting parliament has yet to finalize the terms of the proposal.
That said, American military officials "welcome [any] dialogue" from Islamabad regarding partnership with the U.S., according to Little.
The issue of the drone strikes is "something we want to get beyond" since both countries "share common goals and common interests" in countering terror groups in the region, he said.
"This is a common fight," Little added.
The strikes have become an integral part in the White House's campaign against international terror groups including al Qaeda and the Taliban.
The number of clandestine air strikes has surged under the Obama administration, taking out suspected terror targets in Yemen, Somalia and Pakistan.
CIA operators have killed nearly 300 terror targets in Pakistan since 2008, according to the Times.
Politically, congressional lawmakers also have praised the use of unmanned drones by the military and the intelligence community.
Defense spending on autonomous aircraft has surged on Capitol Hill, making the aircraft one of the few bright spots in an increasingly dismal defense budget forecast.
Despite those successes, the drone attacks, combined with a number of high-profile incidents, have pushed U.S.-Pakistan ties to the breaking point.
A cross-border raid into Pakistan by U.S. special operations forces last May that ended with the death of Osama bin Laden was considered by many as an affront to the country's sovereignty.
Last November, U.S. warplanes mistakenly killed 24 Pakistani soldiers during an airstrike along the Afghanistan-Pakistan border. That attack prompted Pakistan to close integral supply lines to American and coalition forces fighting in neighboring Afghanistan.
Washington had planned to resume military and diplomatic ties with Pakistan this month. Central Command chief Gen. James Mattis and Marc Grossman, the State Department's special envoy to Pakistan and Afghanistan were scheduled to visit Islamabad in a few weeks.
Those plans are now on hold, according to the Post, due to Pakistan's demands over the drones.