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Gillingham boss Steve Evans has added another goalkeeper to the ranks and hopes to create a battle for the position.
He has been with Chelsea since the age of eight and signed a professional contract with them in November 2018. His 11 appearances for them have come in the Football Trophy competition.
Last summer he agreed to join Stevenage for a season, making 47 appearances and claiming 18 clean sheets. The club had one of the best defensive records in the division.
Gills boss Steve Evans said: "Jamie was exceptional in League 2 last season.
"He comes here with no promises of game time, he will need to earn the right because Aaron Chapman has made a very impressive start.
"Jamie is very highly regarded at Chelsea and we are delighted they see Gillingham Football Club as a route for the lad to develop further."