MacWorld claims that customers in China started reporting on Tuesday (October 9) that they had received shipping confirmation emails from Apple stating the product was on its way.
Giga OM estimates that the new iPods will arrive with US customers around October 15, although the Apple website still states just "October" in the shipping information.
Engadget China's Richard Lai has posted a picture on Twitter of the fifth generation iPod Touch in an Apple Store in Hong Kong, suggesting that the product will also arrive in Apple's retail outlets and resellers soon.
Announced alongside the iPhone 5 last month, the latest iPod Touch features a larger four-inch Retina screen, 5-megapixel camera and new Lightning dock connector.
Available in five different colours, the device costs £249 for the model with 32GB of storage and £329 for the 64GB model.
A new range of iPod Nano devices was also announced by Apple last month, but it is unclear whether these will ship in the next week alongside the iPod Touch.
But Apple may be getting the initial iPod orders out to consumers now so that it can clear the decks for the expected unveiling of the iPad Mini next week.
The firm's much rumoured new small screen tablet computer is expected to feature a 7.85-inch screen and go on sale either in late October or early November.
If you have pre-ordered the new iPod Touch, have you been sent a shipping confirmation from Apple? Let us know below: