In late 2010, Morley was cast as the lead role of Brandon Benedict in the Jonathan M. Shiff produced television series Lightning Point, which began airing from 2012. He had to relocate to the Gold Coast for the seven month shoot. In January 2013, Morley began appearing in Home and Away as Spencer Harrington. Morley left Home and Away in April 2015 after two years. A few months later, he joined the presenting team of travel and lifestyle show Melbourne Weekender.

In January 2016, it was announced that Morley had joined the regular cast of Neighbours as a character initially known as John Doe. He was billed as having no family ties and a "mysterious past". He made his first screen appearance on 4 April 2016. Morley's character was later revealed to be a Catholic priest called Jack Callahan.

Morley has been a volunteer firefighter since the early 2000s. Morley became engaged to his partner Jay Haggar in August 2017. Haggar gave birth to their first child, a daughter, on 26 December 2017. Morley is also a step-father to Haggar's two children from a previous relationship.