One round bounced off the pilot's helmet but he was unscathed during Sunday's rescue of oil workers.
Earlier, 50 Britons and 150 foreign nationals arrived in Malta on HMS Cumberland as evacuation efforts go on.
David Cameron has urged Libyan leader Col Muammar Gaddafi to 'go now'.
The prime minister said the north African country had no future 'that includes him'.
The BBC's Frank Gardner confirmed details of the narrow escape during the evacuation of oil workers - 20 of whom were British - from the desert."
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