“I’m going now to Gaza to stay for the entire disengagement period (and) to follow all the details,” Mr Abbas told Palestinian radio.
“I will have contact with all the Palestinian parties,” he added.
Mr Abbas has been based in Ramallah in the West Bank, since his election following the death of Yasser Arafat.
He is under enormous international pressure to ensure that the pullout is not carried out under the spectre of militant attacks.
In the past few weeks Hamas and Islamic Jihad have launched a deadly wave of violence.
There have also been renewed clashes between militants, Palestinian forces and Israeli troops.
Fears of more militant attacks were heightened on Saturday by the killing of two Israeli grandparents shot by Palestinian gunmen in Gaza.
Israel’s withdrawal from Gaza is due to begin on August 17 and is expected to take up to four weeks.
Mr Abbas accused Israel on Monday of still failing to provide answers to key questions related to the operation.
“Until now, there has not been a positive answer from the Israeli side, although there is contact with them,” he said in the interview.
“I expect they will give us answers this week, but it will be very late.”
Israeli soldiers will stay behind to dismantle their equipment but no soldiers are expected to be in Gaza beyond Jewish new year beginning on October 3.
Military sources confirmed that nearly 60,000 soldiers and police are to be deployed during the pullout, with around 10,000 reservists on standby.
“If the violence continues during the withdrawal, the army could reoccupy parts of the Gaza Strip,” General Dan Harel told army radio.