In 1991, he was the Victorian Football Association's leading goalkicker with 84 goals, won the VFA Mark of the Year (he was a regular flier for speckies), and he was part of the club's premiership team – he kicked four goals in the Grand Final, despite suffering a concussion in the third quarter and not remembering much of the second half.

As one of Carlton's forward targets, Welsh kicked 28 goals in 1992, six of them against Fitzroy in round 14.

He played at a forward pocket in the 1993 AFL Grand Final where he kicked two goals in a losing cause.

After leaving Calder he took up the job of the Oakleigh Chargers' senior coach and steered them to the 2006 TAC Cup premiership.

Welsh joined the St Kilda Football Club as a backline coach in 2015.