Abstract: The disclosure is of a novel method of reducing remnant upon cutting interliner blanks from a plurality of strips of thermoplastic, bias-cut interlining material. The method comprises superposing a portion of the butt ends of the strips in a specific manner and fusing the strips together along a thin line adjacent the superposed butt ends. In the preferred method, butt ends distal to the fusion line are severed simultaneously with fusion to obtain a heat-sealed seam which is hardly detectable, strong and non-interfering with the use of the fused strips as interlining in collars, cuffs and center pleats.