A tape dispensing tool includes holder assembly and an applicator member. The holder assembly has a base portion and a retainer head that are spaced apart by a recess. A leader tape segment extends across the recess from a tape roll held by the base portion to the retainer head. The applicator member is moveably coupled to the holder assembly rearward of the leader tape segment. The applicator member includes a receiving surface and a pressing surface angled relative to one another. The cable bundle forces a proximal portion of the leader tape segment against the receiving surface as the cable bundle is received in the recess, which moves the applicator member. The movement of the applicator member causes the pressing surface to force a distal portion of the leader tape segment against the cable bundle to adhere the leader tape segment to the cable bundle.