Although Amazon started shipping pre-orderedThe backlog for the devices this week, customers who order one today will have to wait a month or more for the e-reader to ship. Kindle Paperwhite e-reader shipments has grown to 4 to 6 weeks, according to the product's listing on Amazon. Once again, Amazon says the delay is "due to popular demand." Amazon unveiled the Kindle Paperwhite device earlier this month as one of . The device is Amazon's first self-illuminating e-ink reader. Just last week, for new orders.