On Wednesday 26 December at 17:05 on ITV2 (UK), the 95.8 Capital FM Party in the Park from 8 July 2001 will be shown. Jamiroquai played Little L and Cosmic Girl at the event which took place in central London. There is also further coverage from the event being shown on ITV2 the following day at 00:05 so I'm not sure which show will get to broadcast Jamiroquai's performance.
Jamiroquai performed on US telvision Canned Heat live on the Tonight Show with Jay Leno today in 1999. Today in 2001, Jamiroquai performed Little L and Cosmic Girl at the Capital FM Party In The Park concert in London.