Asked about the kingdom's position on reducing output, Naimi said: "Forget about this topic," Al-Hayat daily reported on its website, without elaborating.
"Oil prices are always volatile," he said.
Members of the oil-exporting cartel OPEC and non-OPEC producers will meet Sunday in Doha to discuss freezing production at January levels.
Saudi Arabia's production in March remained almost at the same levels as in January.
Iran has said it will not join a freeze as it is still ramping up production following the lifting of nuclear-linked sanctions in January.
OPEC warned Wednesday in its April report that the world remains awash with crude, but said oil prices rose more than 20 percent in March, continuing a slow recovery from the huge drop of 2014-15.