A hemostatic system includes an inner tube and an injection sheath coupled to the inner tube. The injection sheath houses at least a section of the inner tube. The inner tube defines a first lumen configured to channel a fluid therethrough, and the injection sheath defines a second lumen configured to channel a hemocoagulant agent therethrough. An injection device is positionable within the injection sheath to facilitate channeling the hemocoagulant agent through the second lumen. The injection device defines a third lumen in fluid communication with the first lumen when the injection device is positioned within the injection sheath. The injection device includes a valve that is moveable to selectively restrict access to a portion of the injection device.