The Australian paceman snapped up two of the remaining three Derbyshire wickets in the first half hour of the fourth morning to finish with figures of four for 44.
That left Sussex a victory target of just 42 in the Division One clash at Derby and they knocked off the runs in 5.5 overs for the loss of only one wicket to celebrate a 24-point haul.
Nottinghamshire raced to a 114-run win over Surrey at Trent Bridge after the home seamers made the most of conducive conditions.
Surrey began the day on 72 for three but were bowled out for 144 shortly after lunch as Paul Franks (three for 16) and Harry Gurney (three for 40) did the damage.
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