The 24-year-old Canadian back was due to return to London Scottish following the conclusion of his loan spell, but with Duncan Weir out injured and Finn Russell and Peter Horne with Scotland, the Warriors have agreed a deal to keep him at Scotstoun.
Glasgow Warriors head coach Gregor Townsend said: "We're delighted that Connor will be staying with us until the end of the season.
"He is a hard-working player who is always looking to improve and can play in a variety of positions throughout the backline.
"We have a number of players unavailable at the moment, so we'd like to thank London Scottish for their support."
Connor Braid added: "I want to play as many games as I can for the Warriors over the next few months.
"I'd like to thank everyone at London Scottish for making me feel so welcome and wish them all the best for the remainder of the season."
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