This invention is directed to an improved nonwoven product comprising a nonwoven web of fibers bonded together with a sufficient amount of binder comprised of a polymer comprised of vinyl acetate, ethylene, and a crosslinking monomer to form a self-sustaining web. The improvement in the nonwoven product resides in the use of a polymer having a crystalline melting point (T.sub.m) ranging from 35 to 90.degree. C., preferably 50 to 80.degree. C.; measured at a heat rate of 20.degree. C./minute. The polymer should have a crystalline heat of fusion (H.sub.f), which typically range from about 2 to about 50 joules per gram and a low glass transition temperature (T.sub.g), e.g., from 10 to -40.degree. C., typically -15 to -35.degree. C.