Provincial officials in Anbar have requested the government reopen the bridge, which is the main entry point from Anbar to Baghdad and is used by refugees fleeing conflict in Anbar stemming from the Islamic State and its fight with the country's security forces.
Iraqi authorities previously closed the bridge in May, as concerns grew about the possibility of Islamic State militants sneaking into Baghdad among the flow of refugees displaced from Anbar.
According to figures from the International Organization for Migration, in the first two weeks of May, more than 133,000 people were displaced from the area around Ramadi as a result of fighting between militants and pro-Government troops.
Anbar province is the largest governate in Iraq and is largely under the control of the Islamic State. Earlier this week, Shiite militia Asaib Ahl al-Haq announced it had gained some territory in the province from the Islamic State and was preparing to launch an attack on its control over the city of Fallujah, which fell to Islamic State militants in January 2014.