Wojt competed for the Polish squad in two swimming events at the 2008 Summer Olympics in Beijing. He qualified for the Games with a third-place time in 2:00.32 to clear the sub-2:01 barrier and achieve the FINA A-cut in the 200 m individual medley (2:01.40) at the Summer Universiade one year earlier in Bangkok, Thailand. In the 4 × 200 m freestyle relay, Wojt and his teammates Łukasz Gąsior, Michał Rokicki, and Przemysław Stańczyk finished the second heat of the prelims with an aggregate time of 7:18.09. Swimming the second leg, Wojt recorded a split of 1:48.54, the fastest of the Polish foursome. In the 200 m individual medley, Wojt put up a fantastic swim with a help of his powerful backstroke leg to take the sixth spot in heat four with a 2:01.54, but fell short for the semifinals, finishing twenty-sixth overall in the prelims.