The 20 year old midfielder is enjoying his time with Brentford and Rosler has been impressed with his contribution.
"George Saville has fulfilled our expectations," said Rosler, quoted by the Fulham Chronicle.
"He is a great player and can be even better - there's great potential in him.
"He's hungry and he likes it here. We'll try to do something in January and maybe in the summer as well."
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