The 23-year-old has been subject to further assessment, and no long-term issues are anticipated.
A Warriors spokesman said: "Ruaridh has reacted well to treatment since Saturday's game and the Warriors medical team are happy with his progress. He will continue to be monitored closely in the lead-in to our Heineken Cup matches and, from Scotland's perspective, for the RBS 6 Nations Championship."
Low has since been assessed by orthopaedic surgeon, Graham Lawson, at Spire Murrayfield Hospital. Mr Lawson confirmed that the prop has suffered damage to the medial collateral ligament (MCL) in his knee.
Low will miss Glasgow's forthcoming Heineken Cup games and the start of the RBS 6 Nations Championship. It is common for this injury to require re-evaluation but the expectation is that Low will be absent for at least eight weeks.
Warriors head coach Sean Lineen said: "This is clearly very disappointing news for Moray. He's an ambitious player who is extremely keen to achieve success with both Glasgow and Scotland, and the injury has come at a very unfortunate time.
"He's a tough character, however, and I know he'll work hard to bounce back strongly. In terms of his rehab, he'll be in great hands with the medical and physio team we have here at the Warriors."
Scotland head coach Andy Robinson said: "We all wish Moray a speedy recovery. As far as Ruaridh is concerned we will be monitoring his progress closely before the players come into camp with us later this month."