A tissue closure treatment system and method are provided with an external patient interface. A first fluid transfer component FTC.1 comprises a strip of porous material, such as rayon, with liquid wicking properties. FTC.1 can be placed directly on a suture line for transferring fluid exuded therethrough. An underdrape is placed over FTC.1 and includes a slot exposing a portion of same. FTC.2 comprises a suitable hydrophobic foam material, such as polyurethane ether, and is placed over the underdrape slot in communication with FTC.1. Negative pressure is applied to FTC.2 through a connecting fluid transfer component FTC.3. A negative pressure source can comprises a manual device or a power-operated suction device. The tissue closure method includes a manual operating mode using a manual suction device with an automatic shut off for discontinuing suction when a predetermined volume of fluid has been drained. An automatic operating mode utilizes a microprocessor, which can be preprogrammed to respond to various patient and operating conditions. Alternative embodiments include fluid transfer components with beveled or angle-cut ends, a bio-reactor, internal organ applications and corresponding closure methods.