Southampton are four points clear of the drop zone after Saturday's win, which Cork compared to the high of achieving automatic promotion from the Championship last year.
"I've had some great times at this stadium," he said. "When we went up last season, the fans were unbelievable then.
"That was up with that day. When the final whistle went and you see the fans go nuts and to see the lads so happy, it was a great three points."