Described are devices and methods for stabilizing patient IV lines during IV therapy. A sleeve is fitted to a patient and a clasp is placed over IV line(s) at the IV line-receiving area on sleeve, and secured to sleeve via hook-loop or other suitable interactions. In another embodiment, a strap is fitted to the patient. A line strap is attached at one end to strap. IV line(s) is placed in the IV line-receiving area on strap and line strap is secured over IV line(s), attaching at its other end to strap via suitable attachment interactions. In another embodiment, line strap or clasp is removably attachable at both of its ends to strap or sleeve. Anti-slip material can be used on clasp, line strap, and/or receiving area. The strap and line strap may be outfitted with grips to assist in securing, adjusting, and releasing the strap or line strap.