A fiber-wrapped smokeless tobacco product includes smokeless tobacco and a plurality of polymeric fibers surrounding the smokeless tobacco. The polymeric fibers can have a basis weight of 5 gsm or less and a diameter of less than 100 microns. In some cases, the polymeric fibers are melt-blown polymeric fibers. In some cases, the polymeric fibers are centrifugal force spun polymeric fibers. A method of preparing a fiber-wrapped smokeless tobacco product includes melt-blowing or centrifugal force spinning a plurality of polymeric fibers to create an polymer deposition zone and passing a body comprising smokeless tobacco through the polymer deposition zone. In some cases, an electrostatic charge can be applied to the plurality of polymeric fibers, the body, or a combination thereof. In some cases, a spin is applied to the body when passing through the polymer deposition zone.