OPEC oil output has risen in June by more than 300,000 barrels per day, (bbl/d) according to figures the exporter group uses to monitor its supply, as a recovery in two nations exempt from a supply cut deal countered high compliance by many others.

OPEC agreed to cut output by about 1.2 million bbl/d from Jan. 1 to reduce a glut and support prices. Russia and 10 other non-OPEC states agreed to cut half as much.

Including Nigeria and Libya, which are exempt from the deal, output by all 13 OPEC members in June rose to about 32.47 million bbl/d, according to the average assessments of secondary sources OPEC uses to monitor its output. The figures were seen by Reuters.

That would be up 330,000 bbl/d from OPEC's published May figure.

A jump in output in Nigeria and Libya, where output had been limited by conflict, has weighed on oil prices. The recovery has prompted more talk among producers about asking them to join the supply cut deal.

Production from the 11 OPEC members with output targets under the agreement has averaged 29.84 million bbl/d in June, according to the secondary sources. Reuters also saw these figures.

That means compliance in June is 97 percent, according to an OPEC calculation. That is lower than in May, as OPEC's published figures for that month point to compliance above 100%.

OPEC is scheduled to publish the assessment of June output based on secondary sources in its monthly oil market report on July 12. The figures could be revised before publication as more secondary source estimates are added, OPEC sources said.

OPEC uses two sets of figures to monitor its output—figures provided by each country and those provided by secondary sources that include industry media. This is a legacy of old disputes over real production levels.

The production cut agreed last year was from levels as assessed by the secondary sources.

OPEC's report on July 12 is also expected to show that Saudi Arabia told OPEC that it raised production to 10.07 million bbl/d in June, industry sources said, up from 9.88 million bbl/d in May.

The increase takes Saudi production slightly above its OPEC production target of 10.058 million bbl/d for the first month this year, although on average in 2017, output remains below the target, an OPEC source said.

The six secondary sources used by OPEC are the International Energy Agency, oil-pricing agencies Platts and Argus, ‎the U.S. Energy Information Administration, consultancy Cambridge Energy Research Associates and industry newsletter Petroleum Intelligence Weekly.