Suppliers Samsung, LG and Sharp have already produced one million high-res displays for the next-generation iPad for Apple, it has been reported.
Digitimes claims that a further two million will be produced by the end of November by the three suppliers, citing "industry sources".
However, the report doesn't specify exactly what it means by high resolution, so it doesn't shed any light on whether or not the third-generation iPad will have a retina display.
Last month it was claimed that display suppliers for the next-generation iPad were having trouble producing adequate quantities of high-resolution displays. The report said that the aim was to produce displays with a resolution of 2048 x 1536 pixels, four times the current 1024 x 768 resolution of the first- and second-generation iPads.
Digitimes' report also claims that touch module makers TPK Holding and Wintek are expected to begin shipping their products to Apple assembly partner Foxconn in Mid-November to December, with assembly of the devices due to begin early in the New Year.
This would fit in with Apple's current 12-month cycle for iPad releases, though there has been some speculation that the iPad released in March 2012 will be an upgraded iPad 2 rather than a completely overhauled iPad 3.