The Palestinians have warned that any attempt to worsen the conditions of security prisoners held in Israeli jails would lead to violence.
Palestinian hunger striker Khalil Awawdeh's case has gained increasing local and international attention since he started his hunger strike on March 3.
The move could escalate tensions between Palestinians and Israel as calls have been made to hold rallies in support of the prisoners.
The release of Khalil Awawdeh was claimed to be part of the ceasefire that ended Operation Breaking Dawn.
The detainees who are being held in PA prisons include university students, academics, political activists, as well as people suspected of affiliation with Hamas.
Israel Prisons Service (IPS) Chief and three other top officials that their failures led to the Gilboa Prison breakout warned.
Of the six escapees, the most prominent was Zakaria Zubeidi, a Fatah commander who was responsible for multiple terrorist attacks and for killing many Israelis.
The IPS head also claimed several figures within the prison service warned her of an "ineffective" security system at Gilboa.
The PA leadership claimed that the agreement was reached thanks to efforts made by Majed Faraj, head of the Palestinian General Intelligence Service.
Abbas was speaking on the 57th anniversary of the launch of the first attack on Israel by his ruling Fatah faction, just days after his meeting with Defense Minister Benny Gantz