The 17-year-old forward will link up with former Town player and youth coach Joe Deeney, who is now in charge at Vauxhall Road.
Tomlinson, who has 20 goals to his name so far this season, is eligible to make his debut in their FA Trophy tie at home to Eastleigh tomorrow afternoon.
He stands to gain valuable senior experience as the Tudors push to break into the play-off places from their current position just one spot outside, in eighth, as they face two local derbies with St Albans City over Christmas and New Year along with fixtures against promotion rivals Welling, Torquay and Chelmsford.