Sprint Nextel has been rolling out its high-speed LTE network, but the faster network could come with a downside for customers -- higher prices.

Chief Executive Dan Hesse, speaking at an analyst conference today, said Sprint may consider raising prices once it has made more progress with its 4G LTE network upgrade. The company lags Verizon Wireless and AT&T in building out the high-speed network, something that could limit its attraction to customers.