He was driving a Peugeot which ran out of control and landed on its side on Bernard Road, near Hyde Park, yesterday.
When officers arrived they found a set of crutches at the crash scene.
South Yorkshire Police said: “Think the driver must have thought he was doing laps on the Nurburgring with the skid marks he left on the road.
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“Then out he climbed and off he ran trying to flag down motorists to give him a lift.
“We were a little curious as to why there were two hospital crutches in the car but after a quick check of some camera footage all was revealed as we watched him hobbling away with a pot on his leg.”
Anyone with information should call South Yorkshire Police on 101.