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First of all, Desmond was on OCEANIC 815 in "LA X", not Ajira 316, which crashed on the Hydra Island in the original timeline.

As for the actual question, this hasn't been answered yet, but given what Faraday said about Desmond not being subject to the rules of time, as we saw with his consciousness traveling between time periods in "Flashes Before Your Eyes" and "The Constant," it is possible that Desmond has some ability to travel between the two timelines.

This is speculation, of course, but it's a popular theory, and is the one that is most likely to be true.

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