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Speaking on Monday, Hasenhuttl said that the 28-year-old England international is not expected to face a lengthy absence, and that he could be back in action once the upcoming international break has ended.
“I think it is a serious one but not too serious,” the Austrian coach told Southampton’s official website.
“I think three weeks it’ll be, expect him back after international break.”
James Ward-Prowse scored from the penalty spot in the first half and Che Adams found the net after the break in the Saints’ 2-0 away win against Sheffield United, keeping Hasenhuttl’s side 14th in the top-flight standings.
PA contributed to this report.