Kachikwu assured that Nigeria would be bound by any agreements and resolutions collectively made by OPEC, including the need to cap its oil production when it has stabilised at 1.8 million bpd.
Nigeria had argued that although its production recovery efforts had made some appreciable progress since October a year ago, it was not yet out of the woods.
OPEC and its allies have agreed to reduce output by about 1.8 million barrels per day (bpd) until March 2018 in an attempt to empty inventories.
Brent crude, the worldwide benchmark, closed at $56.43 a barrel on Thursday, the highest level since February and an increase of more than 25 percent since June. "Everything is possible, if the opportunity appears to change the conditions - we will discuss the issue", he said.
Oil prices have gained more than 15 percent in the past three months to trade above $56 a barrel, suggesting the deal is making progress in getting rid of excess supply. The bloc has already agreed to extend output cuts through March 2018, although another extension may be in the works.
Analysts expected a 2.925 million barrels build in crude and a 2.025 million barrels decline in gasoline and a 1.175 million barrels fall in distillates.More news: Kurdish Referendum: Between Turkish Threats and Iranian Caution
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Opec and Russian Federation said they were about halfway toward clearing a global oil glut and urged fellow producers to stay focused and finish the job, while stopping short of additional action to reassure a jittery market.
Kuwaiti Minister of Oil Essam al-Marzooq said after the meeting that "the process is working fine so far".
The oil market is well on its way to rebalancing and the pace of the drop in inventories in developed economies has accelerated, Kuwait's Oil Minister Issam Almarzooq said. Nine months into the OPEC-led supply agreement, implementation of the pledged production cuts remains high.
TASS/.The OPEC + countries have left all options for further implementation of the agreement on oil production reduction open for discussion, according to the communique of the Joint Ministerial Monitoring Committee (JMMC).
USA crude stocks rose a less than expected 1.4 million barrels at the end of last week, The American Petroleum Institute (API) said on Tuesday, while gasoline stocks fell 5.1 million barrels and distillates dropped 6.1 million barrels. This has prompted more talk about including Libya and Nigeria in the pact.
In addition, rising crude prices have encouraged United States shale oil producers to ramp up output, a further reason why the drawdown on global inventories has taken longer than expected.