Livermore was second to Kim Collins at the 2013 UTech Classic in Kingston, running 10.29 seconds. He made big improvements at the Jamaican Championships starting with a 100 m best of 10.07 seconds for fifth overall. He knocked over half a second off his 200 m best during the tournament and his time of 20.13 seconds in the final was enough for third behind Warren Weir and Nickel Ashmeade. This earned him the fourth 200 m spot on the Jamaican team at the 2013 World Championships in Athletics (defending champion Usain Bolt was automatically qualified). Prior to that event, he was a double medallist at the 2013 Central American and Caribbean Championships in Athletics: first he won the bronze in the 200 m, then he shared in the 4×100 metres relay silver medals after anchoring home a team of Oshane Bailey, Andrew Fisher, and Jermaine Brown. On his global senior debut in Moscow he reached the semi-finals of the World Championship 200 metres.