A dispersible article and methods of making the same. The article has a web of fibers and a dried binder in contact with the fibers. The web of fibers has a basis weight of from about 10 gsm to about 150 gsm. The dried binder has a polyfunctional aldehyde and a primary polymer. The primary polymer has at least one functional group that is reactive with the fibers or the polyfunctional aldehyde. The fibers have at least one functional group that is reactive with the polyfunctional aldehyde or the primary polymer. The article has a cross direction wet tensile strength after 15 minutes of aqueous saturation that is at least about 30% of an initial cross direction wet tensile strength. The article is flushable.