It was reported last month that Sharp was one of three companies producing screens for Apple's new iPhone.
Sharp president Takashi Okuda did not offer any other details on the screen shipments, simply stating that "shipments will start in August."
The new screens are reportedly thinner than current displays due to the use of in-cell technology. This means that touch sensors are integrated directly into the LCD display, rather than adding to the screen's thickness with a separate touchscreen layer.
The touch layer is usually about half a millimetre thick, which may be a small difference to size, but also can improve image quality due to the lack of an additional screen layer.
Reports have also suggested that the new iPhone will feature a larger screen than the current model's 3.5-inch display. The larger screen would help the iPhone compete against Samsung's Galaxy S3 smartphone, which uses a 4.8-inch OLED display.
Supposed images of the new iPhone were leaked online earlier this week. The new iPhone is said to have a smaller 19-pin connector rather than the current model's 30-pin port, along with the wider 16x9 screen in a longer form factor.
It will also launch with iOS 6, which features new 3D maps, Passport, deeper Facebook integration, an upgrade to Siri and over 200 other enhancements.
A recent rumour that the new iPhone will cost $800 (£500) started a Twitter uproar, though the source was eventually traced back to an alleged Chinese scam site.
Apple is expected to announce the new iPhone during a special event on September 12. Rumours suggest that it will then launch later in September.