The Austrian side have been tracking the Australian star for the past few months and are believed to have agreed a deal to sign him.
Didulica, who is available on a free transfer in the summer, is keen to leave Ajax after turning down a new deal at the Dutch giants.
The former Melbourne Knights star is behind Bogdan Lobont and Maarten Stekelenburg at the Amsterdam ArenA and is keen on a move away for first team football.