OPEC and non-OPEC producers including Russia agreed late last year to reduce output by about 1.8 million barrels per day in a landmark deal that followed a sharp drop in oil prices.
"OPEC compliance with the output cuts is excellent ... Compliance has reached 92 per cent," said Kuwaiti oil minister Essam al-Marzouk, who chairs a committee tasked with monitoring the agreement.
Non-OPEC producers had delivered on more than half of their pledged production reductions, he told reporters on the sidelines of a conference in Kuwait City.
"We understand that the compliance of non-OPEC producers will be gradual through the months of April and May," said Marzouk.
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"We hope for full compliance from all producers," he added.
Global oil prices fell from more than USD 100 a barrel in June 2014 to near 13-year lows of less than USD 30 in early 2016, hitting the public finances of many oil producing nations.
They have since bounced back above USD 50 following the output cuts that took effect at the start of 2017.
US benchmark West Texas Intermediate was down nine cents at USD 53.77 per barrel in Asian trade on Monday while Brent North Sea slipped five cents to USD 56.65.
The five-member Joint Ministerial Monitoring Committee headed by Kuwait will meet in the emirate next month to re-assess compliance with the pledged cuts.