Jones has returned to his club for treatment faces a race to be fit for their Champions Cup quarter-final clash against Saracens on March 30.
The news follows Stuart Hogg's injury setback. Hogg damaged his shoulder ligaments in the first half of the Ireland match.
The fullback remains under the joint care of the Warriors and Scotland medical teams, with no timescale put on his return.
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Gregor Townsend's Scotland are next in action against France in Paris on Feb. 23. They beat Italy 33-20 in their opener earlier this month.
(Reporting by Hardik Vyas in Bengaluru; Editing by Keith Weir)
