"I suggested they study my proposal and I am waiting for their reply," Luaybi said.
"Because of IS, it was frozen," Luaybi said.
Baba Gurgur, discovered in 1927, is Iraq's oldest oilfield.
Central government forces reseized it from the Kurds in October along with the fields of Havana, Bai Hassan, Jambu and Khabbaz.
The five fields have a total output of around 470,000 barrels of oil per day (bpd) but production and export have been slow as the main pipeline linking Kirkuk to the Ceyhan oil terminal in Turkey was damaged and needs repairs.
A sixth oilfield, Khurmala, remains in Kurdish hands, but Luaybi insisted it belongs to Iraq's state-owned North Oil Company.
"Khurmala belongs to NOC and was discovered more than 30 years ago," he said. "We started developing it in 1995. NOC and the oil ministry have finished drilling 36 wells there."
Luaybi said the Iraqi oil ministry had launched a $37 million programme in 2004 to develop Khurmala.
The ministry of resources in the autonomous Kurdish region of northern Iraq seized Khurmala in 2008-2009, Luaybi said.
"But it's a field that belongs to the oil ministry of the federal government," Luaybi said.
It reported its oil exports at 109.6 million barrels in December last year, the same month that the government announced victory over IS.
Iraq in December 2017 earned around $6.5 billion (5.3 billion euros) from crude sales, at $59.3 per barrel.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)