(Read more: 'Something big' ahead for Google?)
"Android, of course, is much stronger in Asia than it is in the Western world, and there's a lot of competition there," he added. "At the same time, I do think Apple is an aspirational brand, and if they can bring in newer product at similar price points to the 4 and the 4s, that could be very attractive.
"We're still waiting to see if they hook up with China Mobile. That would be very significant to Apple's earnings if it's a subsidized phone."
For now, there would likely be a midrange iPhone from Apple, as well as a new flagship model, but no large-screen phone/tablet hybrid, Milunovich said.
(Read more: Apple stock going to $600, pro says)
"I think there's 12- to 24-month development cycles for Apple, and I think they got caught by the demand for so-called 'phablets,'" he said. "So, if there is one coming, I would think it's going to be no sooner than mid next year."
Milunovich noted that Apple's services, such as iTunes, accounts for approximately $17 billion in annual revenue. That, he added, provided support for a $500 share price, "based on what we know today."
"To go higher, we're going to have to see some major new product wins," he also said.
— By CNBC's Bruno J. Navarro. Follow him on Twitter @Bruno_J_Navarro.
Trader disclosure: On July 24, 2013, the following stocks and commodities mentioned or intended to be mentioned on CNBC's "Fast Money" were owned by the "Fast Money" traders: Jon Najarian is long AAPL; Jon Najarian is long JPM ; Jon Najarian is long CSCO; Jon Najarian is long JNY; Jon Najarian is long NTAP; Jon Najarian is long VMW; Jon Najarian is long EMC ; Jon Najarian is long FFIV; Simon Baker is long AAPL; Simon Baker is long JPM; Simon Baker is long GS; Simon Baker is long WFC; Simon Baker is long FB; Simon Baker is long BRCM; Simon Baker is long BA; Simon Baker is long C; Stephanie Link is long AAPL; Stephanie Link is long JPM; Stephanie Link is long WFC; Stephanie Link is long CSCO; Stephanie Link is long FB; Stephanie Link is long EBAY; Stephanie Link is long F; Stephanie Link is long HON; Pete Najarian is long AAPL; Pete Najarian is long BAC; Pete Najarian is long C; Pete Najarian is long YHOO; Pete Najarian is long SBUX; Pete Najarian is long NFLX; Pete Najarian is long FB; Pete Najarian is long BBRY ; Pete Najarian is long F; Pete Najarian is long C; Steven Milunovich is long AAPL.