No bus goes directly to/from Amman, so your best bet is to head to either Aqaba or Petra and get a bus to Amman from there.
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The Most Frequently Asked Travel Questions about Wadi Rum
Where To Stay & Best Hotels in Wadi Rum - updated May 2024
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Wadi Rum Travel Guide from Wikitravel. Many thanks to all Wikitravel contributors. Text is available under Creative Commons Attribution-ShareAlike 3.0, images are available under various licenses, see each image for details.