Elkington, who makes his home in Houston, had been angry with pre-tournament publicity describing the 1995 Australian Open as a two-man battle between Greg Norman and John Daly. Elkington had won the PGA Championship that year.
'Melbourne is one of the best places to play golf in the world,' Elkington, 40, said in a statement on Tuesday. 'It's been too long since I last played in Australia and I am looking forward to returning.
'With the recuperation from (shoulder) surgery, obviously I haven't played much this year, but things are progressing nicely and I got the all-clear to start hitting balls again last Wednesday.'
Elkington will also play the Australian PGA the following week in Queensland.