A novel hemostatic compound includes a hemostatic agent and a transdermal migration-enhancing agent, the agents combined in a defined ratio and in a form capable of topical application to an abrasion, puncture or incision site and capable at the site of inhibiting bleeding. In accordance with one embodiment of the invention, the hemostatic agent is a vasoconstrictor and/or a procoagulant, and the agents are combined in a liquid or semi-liquid form. A compound-gelling agent and/or an evaporative agent and/or an evaporative gel can be combined with the hemostatic and migration-enhancing agents in a defined ratio. In accordance with another embodiment of the invention, the invented hemostatic compound includes a hemostatic agent and a compound-gelling agent, the latter being more particularly an evaporative gel. Other components such as sterilizing, analgesic or antibacterial agents can be added to the various invented compounds. A method for the compound's use during a cannulation procedure or as first aid also is disclosed.