Gloucester forward Strokosch suffered the injury in Scotland's 27-13 loss to Wales at the Millennium Stadium on Sunday and was later examined by his club's medical team.
Scotland team doctor James Robson said in a statement issued by the SRU: "Recovery from such an injury takes typically between four to six weeks."
The RBS 6 Nations is due to conclude on March 17, when Scotland are away to Italy.
Scotland are still waiting for news over wing Max Evans, who was forced off with an ankle injury and left Cardiff on crutches and wearing an immobilising boot.
Robson added: "Max will be seen by the specialist ankle surgeon John McKinley at Spire Murrayfield Hospital today and we will await a further update later this week."
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