Abadi made the statement during a joint press conference with Turkey's Prime Minister, Ahmet Davutoglu, in Ankara.
The transfer of oil from the Iraqi territory used to be a stumbling block between Baghdad and Ankara.
Iraq condemned Turkey for storing oil from the Iraqi autonomous region of Kurdistan that was independently transporting oil overseas – something the Iraqi authorities decried.
During the Wednesday press conference, Abadi and Davutoglu also discussed the Islamic State (IS) militant group that has been fighting the Syrian and Iraqi governments since 2012. Davutoglu said as quoted by Today's Zaman daily that, "There shouldn't be any fighters in Syria and Iraq except their own citizens."
Abadi arrived in Ankara on Wednesday to attend the Turkey-Iraq High-Level Strategic Cooperation Council meeting. He will also meet senior Turkish officials before the close of the council meeting on Friday.