Speculation that Cook may be forced out of Apple has been trickling in over the last several weeks, but with the company reporting earnings Tuesday, the rumors are getting a lot of hype.
(Read More: Earnings Eve: Here's What Pros Say May Turn Apple Around )
Forbes published an article Sunday titled "Is Apple Looking For a Replacement?" that cites "sources close to Apple executives" as the basis for the speculation. However, it notes that there is no evidence to support that the board is actually considering the change.
Hedge fund manager Doug Kass also posted a
The iPhone maker has seen a significant drop since its all-time high of $705 last September, but the fact is Apple's stock should never have climbed that high, said Dan Niles, a senior portfolio manager at AlphaOne Capital Markets.
(Read More: What Apple Bears May Be Missing)
And while nothing is impossible, a change in management is not likely, Niles said.
"He took over as CEO when the stock was in the $300 range, the stock is still higher than when he took over," Niles said. "You have to put this in perspective, Apple didn't run the stock up to $700, stupid investors put the stock up at $700. You can't really blame the CEO for that, they are still making more money than they were."
Niles said that he does expect Apple to expand its buyback program sometime during the next several months even though that could help appease investors. But long term, it's going to take more product diversity—like phones in different sizes— to help the company's stock price, he said.
(Read More: Earnings Eve: Here's What Pros Say May Help Apple)
The fact that Apple is focused on the long term is also a reason that Cook's job is probably not in jeopardy, said Brian White, a senior analyst for Topeka Capital Markets.
"Apple doesn't usually focus on the stock, because they believe if they focus on building great products the stock will take care of itself. Those with investments, though, are pressuring Apple and I could see because of investors that some pressure might be felt internally," White said. "Apple is longer-term oriented and more product focused."
But Colin Gillis, an analyst at BGC, has a tighter timeline for the CEO.
Gillis, who raised his rating to a "buy" from "hold" on Monday and reduced his price target to $500 from $550, said Apple has enough products in the works this year to send the stock back up. But, he added that Cook may face trouble if the stock doesn't doesn't show much improvement by then end of the year.
"I think he is a fantastic COO, let's see what they do on the innovation front to judge what he does as a CEO," Gillis said on CNBC's "Squawk on the Street" on Monday. "He has until the end of the year."