A tool for deploying an anchor sleeve onto one or more implantable medical device bodies includes a holding element, on which the sleeve is mounted, and a base member having a channel, which receives the element in sliding engagement. A conduit of the holding element receives the one or more elongate bodies in sliding engagement. A deployment tip forms an opening of the channel, through which the holding element extends in sliding engagement, and which engages the mounted anchor sleeve for deployment thereof. The deployment tip may be provided as a separate component, wherein a distal segment of the base member is configured for attachment therewith; as such, the tip may be part of a deployment assembly that also includes the holding element. The deployment assembly may be selected from a plurality thereof included in a kit along with the base member.