The invention relates to an internal-combustion engine, notably an indirect-injection supercharged engine, that can run with a burnt gas scavenging stage, comprising at least a cylinder (10) including a combustion chamber (12), non-carbureted air intake passage (16) with an air intake valve (24), carbureted air intake passage (14) with a carbureted air intake valve (22), burnt gas exhaust passage (28) with an exhaust valve (32), an exhaust camshaft (36) for controlling the exhaust passage (28), an intake camshaft (44) for controlling the air intake passage (16) and the carbureted air intake passage (14).