The 30-year-old has been ruled out until December after dislocating his shoulder in last Friday's RaboDirect PRO12 win over the Ospreys.
Cusiter was assessed by Julie McBirnie, a shoulder specialist, at Spire Murrayfield Hospital in Edinburgh and does not require an operation.
Head coach Gregor Townsend told www.glasgowwarriors.org: "Everyone at Glasgow Warriors is disappointed that a quality player like Chris Cusiter is likely to be out of action until around the middle of December.
"It's encouraging, though, that he doesn't need surgery, and we know he's in the best possible hands with our medical team. Chris is a tough competitor, and he'll be working hard to return to fitness and make a significant contribution to our campaign."
Scotland head coach Andy Robinson said: "It's disappointing for Chris because he has made such a good start to the season. I wish him a speedy recovery."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
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The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.