Rapid developments in mobile technology have transformed mobile phones into mobile multimedia devices. Due to these advancements, user created mobile content is on the increase, both in terms of quality and quantity. To keep pace with such movements, the new networking technology named content centric networking (CCN), which is optimized for content sharing, has appeared. However, it virtually ignores mobile devices. So, this letter proposes a smooth mobile content migration scheme for CCN to provide lower communication overhead and shorter download time.