A Clockwork Condition, which runs to 200 pages, is a collection of Burgess' thoughts on the human condition and develops the themes from his 1962 book.
The novel told the story of the state's attempt to cure a teenage delinquent.
The unfinished non-fiction follow-up is described as "part philosophical reflection and part autobiography".
In it, Burgess also addressed the controversy surrounding director Stanley Kubrick's 1971 movie adaptation of A Clockwork Orange.
The cult film, starring Malcolm McDowell as Alex, the violence-obsessed central character and narrator, was accused of inspiring violent copycat crimes and was banned by local councils in the UK.
It was only after Kubrick's death in 1999 that the film was re-released in UK cinemas and made available for home viewing.
A Clockwork Orange was, however, a box office success in the US and was nominated for the Oscar for best picture in 1972 (losing to The French Connection).