The 19-year old signed for Tranmere in mid-November and made his debut for the club in a 1-0 defeat against Swansea City.
Although he is a left-winger by trade, the youngster, currently wearing the number 18 shirt for Rovers, has mainly been employed on the right-wing for Tranmere as a replacement for the injured Chris Shuker.
Myrie-Williams, who has so far made four appearances for Tranmere, will now stay on the Wirral until January 19th and is available to play in Tranmere's F.A. Cup Third Round match against Hereford on January 5th.