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Apple's move toward a larger display for the next generation iPhone was earlier reported by the Wall Street Journal.
In addition to being Apple's rival, Samsung is also a major components supplier to the U.S. computer, tablet and phone manufacturer.
The share of the production of new screens that go to each of the three manufacturers working with Apple has not been determined, one source said.
Sales of the touch-screen iPhone now account for about one-half of Apple's total sales, and the phone has been a key source of growth for the company in Asia.
A report in March by a South Korea business newspaper said Apple would use a "retina" display on the next iPhone, the same technology in its latest iPad that enhance image quality.