A method for supplying fuel to an engine is disclosed. The method may include regulating a gas admission valve disposed between a gaseous fuel line and a cylinder intake port to reduce flow of gaseous fuel to the cylinder. The method may also include closing a shut-off valve disposed between a gaseous fuel reservoir and the gaseous fuel line to restrict flow of gaseous fuel from the gaseous fuel reservoir to the gaseous fuel line. Further, the method may include actuating an inert gas inlet valve disposed between an inert gas reservoir and the gaseous fuel line to supply inert gas to the gaseous fuel line and flush the gaseous fuel in the gaseous fuel line into the cylinder via the gas admission valve. Additionally, the method may include closing the inert gas inlet valve to restrict supply of inert gas to the gaseous fuel line.