They will be rueing the fact that they played Quins on the day that Evans was making his first start since suffering a knee ligament injury on the opening day of the season - the fly-half producing a man-of-the-match display despite playing in the unaccustomed role of full-back.
Stephen Jones put in a try-saving tackle on his rival fly-half but the ball rebounded off the Scarlets man into touch and the Ospreys had a five-metre attacking line-out.
The Ospreys fly-half scored 26 points in a man-of-the-match display as the Ospreys moved into second in the table with a 60-17 hammering of their rivals.
Cockerill said Tigers fly-half Andy Goode, who claimed 19 points and a richly deserved man-of-the-match award at the Millennium Stadium, was more than capable of adding to his nine caps if the opportunity arose.