The Attack The Block filmmaker hasn't officially signed up, but Paramount and Skydance are said to be keen on him taking the reins on the project, reported Deadline.
However, according to reports Joe was previously offered the chance to direct the sci-fi film but turned it down.
JJ made the first two Star Trek movies but will not be on board for the third as he will be busy making Star Wars Episode VII.
The films star Chris Pine, Zachary Quinto, Simon Pegg and Zoe Saldana.
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It's important to treat yourself well. Constantly deferring to others will deprive you of the finer things in life. Carve time out of your busy schedule to pamper yourself. Taking a nap, solitary walk or hot bath will revive your spirits. Get into the habit of spending more money on creature comforts. Treat such as gourmet food, beautiful clothes and intriguing books are investments in your happiness. Others may object at being put farther down on your list of priorities, but that's their problem.More