By Alex Lawler, Ahmad Ghaddar and Olesya Astakhova

LONDON, July 5 (Reuters) – OPEC+ is set to agree on Sunday another increase in output targets from August, sources with knowledge of the matter said, adding ‌to global supply amid falling oil prices due to a gradual reopening of the Strait of Hormuz ‌for oil exports.

The oil producing group has agreed in principle to increase quotas by 188,000 barrels per day from August, on top of similar ​increases for June and July, one OPEC+ source said ahead of the group’s meeting later on Sunday.

Two other sources said an increase of this amount was the most likely decision as a result of the online discussion.

Seven core members of OPEC+, which groups OPEC and allied producers including Russia, have increased their output quotas from April through July by almost 800,000 barrels ‌per day.

PRODUCTION BEGINS TO RECOVER

Yet the ⁠increase has remained largely on paper because of the U.S.-Israel war on Iran, which closed the Strait of Hormuz for passage of tankers from some of the most important OPEC+ members ⁠including Saudi Arabia, Kuwait and Iraq.

OPEC+ output fell to 33.13 million bpd in May, according to OPEC data, from 42.77 million bpd in February. It began to recover in June thanks to U.S. efforts to help the UAE and other OPEC+ nations ​to export ​more oil, but is still below pre-war levels.

Despite persisting supply ​disruptions, oil prices have returned to pre-war levels, ‌pressured by lower Chinese imports, higher exports from non-Middle East producers, and a record global strategic stock release coordinated by the International Energy Agency.

The memorandum of understanding to end the war has also helped convince traders that supply would ultimately return to normal levels.

IRAQ PRESSING FOR HIGHER QUOTAS

Brent crude prices traded near $72 per barrel on Friday, down from recent peaks of more than $120 per barrel.

Besides agreeing production targets, OPEC+ is also facing other challenges after the United Arab Emirates ‌left the group and Iraq signaled it wants higher quotas.

The seven ​producers — Saudi Arabia, Russia, Iraq, Kuwait, Algeria, Kazakhstan and Oman — are boosting ​output as part of the phased rollback of ​a 1.65 million bpd supply cut agreed in 2023, when the group still included the ‌UAE.

The UAE quit the alliance in late April because ​it wanted to align its ​capacity more closely with its production, free of production restraints imposed by the group.

From August, the seven have about 379,000 bpd of the original cut to return to the market, taking into account the UAE ​exit from May 1, according to Reuters ‌calculations.

That would mean that the group would unwind the remainder of the cut by the end of ​September if they continue increases at the same pace.

(Reporting by Alex Lawler, Olesya Astakhova, Ahmad Ghaddar ​and Dmitry Zhdannikov; Editing by Joe Bavier and David Holmes)