Sale forward Gray, who was winning his 26th cap, was injured during the first half against the Springboks.
Scotland doctor James Robson said: "Richie will now be subject to the return to play protocol following a concussive episode. We have been in contact with his club medical team at Sale Sharks to discuss the management of his injury."
Scotland reported no other injury concerns following the defeat to the Springboks as they prepare for next Saturday's game against Tonga in Aberdeen.
Robson added: "Alasdair Strokosch is continuing his rehabilitation with us following the calf strain he sustained in training last week."
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.
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.