Apple plans to ship more than 8 million MacBook Air computers in the third quarter of 2011, DigiTimes claims in a new report on Friday. The number represents more than twice the total number of Mac computers Apple shipped during its fiscal second quarter. DigiTimes‘ report cites sources within Apple’s supply chain in stating that combined MacBook production was ramped up to 2.2-2.4 million units in June, and Apple is expected to yield 2.7-2.8 million units in July. The Cupertino-based company is expected to release refreshed MacBook Air models ahead of the release of its new Mac operating system, OS X 10.7 Lion, and the notebooks should feature Intel’s Sandy Bridge processors and Thunderbolt I/O ports. The anticipated spec boost is expected to cause a surge in MacBook Air sales, but a target of 8 million units in a single quarter doesn’t seem terribly realistic; Apple shipped a total of 3.76 million Mac units in its March quarter, including its MacBook, MacBook Pro, MacBook Air, iMac and Mac Pro lines. Unless Apple also plans to announce a drastic price reduction when it unveils its new MacBook Air PCs in the coming weeks, we don’t see the company coming anywhere close to shipping 8 million units next quarter.