George has spent most of this season playing for Ayr in the RBS Premiership.
Glasgow Warriors Elite Development coach Iain Monaghan said: "George went down to London Scottish earlier in the season but had to come back up earlier than planned, so it's great that he's got the opportunity to go back."
"He's performed really well with Ayr in the RBS Premiership and in the B&I Cup, where he has been developing and improving with them."
"London Scottish could have up to 10 games remaining this season, so this is a good opportunity for him to continue his development and get some really good experience in the English Championship."