Last week, Iranian media published pictures of Soleimani at Albu Kamal in eastern Syria, a town which Soleimani said was the last territory retaken from Islamic State control in the region.
He said the victory over the IS is tantamount to the defeat of plots to sow division and wage a civil war in the Middle East, adding it is a blow to plots by the United States and its allies, Xinhua News Agency reported.
The Reuters news agency quoted Army Colonel Salah Kareem as saying the objective is to prevent remaining IS groups from disappearing into the desert region and using it as a base to launch future attacks.
Iran's Supreme Leader Ayatollah Ali Khamenei has said the victory over the Islamic State (IS) terrorist group in Iraq and Syria is a defeat of the U.S. in the region, a media report said.
In the border region, pro-government forces and US-backed Kurdish-led forces are conducting similar operations to clear IS fighters from the countryside north of the Euphrates valley after ousting them from all Syrian towns.
Iraqi military helicopters provided cover for the advancing troops and destroyed at least three vehicles used by Islamic State militants as they were trying to flee a village in the western desert, said the army officer.
Khamenei's remarks come in response to a senior Iranian Military General, who announced on Tuesday the final defeat of the IS militants in Iraq and Syria and congratulated Iran's Supreme Leader on the "victory".
Over the past year, Iraqi troops, backed by the US-led worldwide coalition, have recaptured nearly all areas under IS control, including the northern city of Mosul, the group's former bastion in Iraq.
The group's leader, Abu Bakr al-Baghdadi, is believed to be hiding in the stretch of desert which runs along the border of both countries.