A method for dedusting a fibrous insulation product using an epoxidized vegetable oil, such as epoxidized soybean oil, having a iodine value less than 10 cg I.sub.2 per gram and an oxidation exotherm by pressure differential scanning calorimeter of less than 500 joules/gram at an oven temperature of 130 C. and an oxygen inlet pressure of 500 PSIG. The fibrous insulation product typically is made with a binder composition that is applied to mineral fibers in addition to the epoxidized vegetable oil prior to the binder composition being cured.