Described herein is a distillation system configured for continuous distillation under vacuum to produce an oil product such as an essential oil. Also described is a method of distillation and distillation product thereof. The distillation system comprises at least one distillation chamber for vaporizing a carrier liquid and passing it through a feedstock; a condenser fluidly connected to the at least one chamber; a separator fluidly connected to the condenser for separating a volatile oil product from a reformed carrier liquid; and a reflux tank fluidly connected to the separator and configured to store the reformed carrier liquid; a valve configured to dose carrier liquid from the reflux tank to the distillation chamber when the level of the carrier liquid in the distillation chamber falls below a predetermined level and a pump configured to maintain a positive carrier liquid pressure between the valve and the reflux tank.