He added that a lot hinges on the company's next financial report. "This upcoming earnings call in February will have a lot to do with whether [Costolo] is CEO next year at this time."
Moorhead, though, isn't sure that a change in leadership would help Twitter.
"I think Costolo should be given a year under close watch by the board," he said. "The company is too young and just recently public. The cement needs to dry a while before that makes sense. That is, unless, there are some things going on that people are unaware of. For instance, if the executive team has lost confidence in Costolo, it would be time for him to go, but I just don't think Twitter is there yet."
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