If the so-called "reduction in violence" holds, it will be a major step toward withdrawing US troops after more than 18 years – and launching Afghanistan into an uncertain future, AFP reported.
"Afghans are tired of war," Bismillah Watandost, a senior member of the People's Peace Movement of Afghanistan, told AFP, calling on citizens to march and "demand an end to this tragic war."
Many Afghans on Facebook were hopeful. "It's a golden opportunity for Afghanistan to bring peace," one, Abu Mahmood, wrote.
Both US Secretary of State Mike Pompeo and the Taliban issued statements on Friday saying they had agreed to sign an accord on February 29 in Doha, following the one-week partial truce.
"Upon a successful implementation of this understanding, signing of the US-Taliban agreement is expected to move forward," Pompeo said, adding that talks between the Taliban and the Afghan government would "start soon thereafter."
Afghanistan's National Security Council spokesman Javed Faisal and Taliban sources said a "reduction in violence" between US, Taliban, and Afghan security forces had been agreed.
The United States has been in talks with the Taliban for more than a year to secure a deal in which it would pull out thousands of troops in return for Taliban security guarantees and a promise to hold peace talks with the government in Kabul.
A reduction in violence would show the Taliban can control their forces and demonstrate good faith ahead of any signing, which would see the Pentagon withdraw about half of the 12,000-13,000 troops currently in Afghanistan.
"The Taliban must demonstrate their commitment to a meaningful reduction in violence," US Secretary of Defense Mark Esper said on Twitter.
"Should the Taliban reject the path of peace, we remain prepared to defend ourselves and our Afghan partners," he added.
A partial truce could also give a much-needed respite to civilians, who have long borne the brunt of the bloody war. The UN said last year that more than 100,000 people have been killed or wounded in Afghanistan in the last decade.
However details of what exactly such a truce will look like have remained scant.
In southern Kandahar Province, seen as the Taliban heartland, one militant told AFP he had received orders to stand down.
However another Taliban commander there said he had only been ordered to refrain from attacking major cities and highways.
Any truce comes fraught with danger, and analysts warn the attempt to stem Afghanistan's bloodshed is laced with complications and could fail at any time.
Worse still, they say warring parties could exploit a lull to reconfigure their forces and secure a battlefield advantage.
Since the US invasion in 2001 there has only been one other pause in the fighting – a surprise three-day cease-fire between the Taliban and Kabul marking the religious festival of Eid al-Fitr in 2018.
Afghan President Ashraf Ghani said Friday Afghan security forces would remain "on active defense status" during the week.
In a statement, the Taliban said warring parties would "create a suitable security situation" ahead of a deal signing.
The Taliban's political spokesman, Suhail Shaheen, separately tweeted that the agreement would see "all" foreign forces leave Afghanistan.
Since the US-led invasion after the September 11, 2001 attacks, America has spent more than $1 trillion in fighting in Afghanistan.
About 2,400 US soldiers have been killed, along with unknown tens of thousands of Afghan troops, Taliban members, and Afghan civilians.