Trott has spent this season on-loan with the Danes.
After their 1-1 draw at Brondby, Trott told the waiting press: "The honest answer is that my main focus right now is on performing with Vejle, we have to finish as high as possible, and I have to help the team.
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"I am not focused on my contract situation with West Ham right now, it would just distract, so I leave it to my agent.
"I just continue to play, and then we will have to see in the summer what opportunities I have. Of course I have to talk to West Ham and look at my other options.
"It is too early to say where I would like to play. I enjoy life in Vejle. The Super League is a good league, there are many good teams and healthy competition. I wouldn't mind staying for another season."