During the First World War in the U.S. Army suppressive fire had a precedent, marching fire. I'm not sure whether the term made it into official doctrine or if it was an innovation made on the spot. The Pedersen Device that converted the M1903 rifle into a semiautomatic weapon was intended to make marching fire possible but the device was only made in small quantities and not used in combat. Patton uses the term marching fire several times in his WW II memoirs War As I Knew It.