Low-density web and method of applying an additive composition thereto

A web comprising greater than 50% cellulosic fibers having a bulk of greater than 3 cc/g and wherein said web comprises an aqueous polyolefin dispersion that is applied to the web by:

• (a) presenting the web having a first surface and an opposite second surface, and
• (b) applying the aqueous polyolefin dispersion on at least the first surface of the web without thoroughly penetrating the web, wherein the aqueous polyolefin dispersion has a viscosity of equal to or greater than a value calculated by an equation of y=40 e0.07x, wherein y represents viscosity in a unit of centipoises, and x is a percentage of the emulsifier content calculated without water;
• and wherein the aqueous polyolefin dispersion comprises polyolefin particles having a size of 0.5 microns to 3 microns, and a solids level of 30% to 60%;
• and
• (c) drying the web after the step of applying the aqueous polyolefin dispersion, wherein the particles are retained in particulate form.