Shammo made the comment at a JPMorgan conference, according to Fierce Wireless.
We're reaching out to Verizon now for comment and will update when we hear back.
Although Verizon doesn't offer unlimited data plans for new customers and phone lines, users who had an unlimited plan have the same benefits "grandfathered" into their contract.
But almost all of those unlimited data customers are using 3G devices. When and if they make the move to a 4G phone, Verizon will force them to sign up for a shared family data plan or a tiered individual data plans.
Unlimited users are paying $30 for their data. But that'll only get them 2 GB of data when they switch to a 4G phone.