Odysseus does not want to reveal their only means of escape.
Explanation:
In the story Odysseus lies several times to the Cyclops, he lies about his name, he lies about what had happened, but in this case the question is why does he lie about what happened to his ship, so he lies about that because he didn´t want the cyclops that they had a way out of the island, so he couldn´t destroy their only means of escape.
