A method of forming a pavement construction joint that involves dispensing a band of a void reducing joint composition on a substrate using at least one spray application vehicle, wherein the band comprises a width of about 4 to about 24 inches. A paving pass is applied over the band of joint composition, wherein the paving pass is positioned against an edge of a previously laid portion of pavement to form a pavement construction joint having a volume of air voids. At least a portion of the joint composition migrates upward to reduce the volume of air voids. The composition is resistant to flow when applied and migrates into hot mix asphalt in the area of the longitudinal joint to reduce air voids to 7% or less and reduce water permeability. The composition becomes tack-free quickly after application. The composition bonds to asphalt, concrete, brick, stone and metal.