Equipment for use in changing a catheter, preferably of the type used for drainage of the urinary tract. The urinary catheter is used as an aid in emptying the urinary bladder in conditions where this cannot be done in the normal manner. The equipment of the present invention includes a sleeve mounting unit which is mounted to an indwelling catheter, and which has a branch member formed in one piece therewith and extending at an acute angle therefrom, for reception of an elongated sleeve having a longitudinal slit. The sleeve is positioned on the branch member and then progressively advanced onto the catheter, causing the slit to become enlarged as the sleeve surrounds the upstream portion of the catheter in a yielding manner. The catheter may then be quickly removed through the sleeve and a new catheter inserted in its place.