A number of directors have been linked with and subsequently distanced themselves from the job, including Steven Spielberg and JJ Abrams.
Producer Frank Marshall has claimed that LucasFilm and Disney have narrowed their search for a director down to "a couple of candidates", MTV reports. However, Marshall added that he is unsure when the information will be revealed.
When asked whether he knew what was happening with the new Star Wars trilogy, Marshall said: "I do. But I can't reveal it, or I won't be alive tomorrow."
MTV speculates that one of the names could be Captain America director Joe Johnston, who worked alongside Amblin Entertainment producer Kathleen Kennedy on Jurassic Park III.
[Left: Joe Johnston / Right: New Lucasfilm president Kathleen Kennedy]
Kennedy became Lucasfilm president last month after the company was sold to Disney.
Johnston told The Huffington Post that directing a new Star Wars would "depend on what 'it' is. I am very glad to see LucasFilm cranking up to get productive again, regardless of who ends up doing it."
Other names rumoured to be in contention are Mission Impossible: Ghost Protocol director Brad Bird and Safety Not Guranteed director Colin Trevorrow.
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