A joint communique issued after the July 3 meeting between Indonesian President Susilo Bambang Yudhoyono and Prime Minister Julia Gillard said that ''co-operation between Australian and Indonesian defence forces goes from strength to strength'' and encouraged senior defence officials in both countries to ''review existing security co-operation''.
Australia and Indonesia are negotiating to establish a defence co-operation arrangement.
Canberra's military ties with Jakarta have been strained over many years. Relations hit their lowest point in 1999, when Australian troops were sent to East Timor to quell violence by pro-Indonesian military militia groups.
But in recent years the military-to-military relationship warmed as Australia provided expertise to Indonesia's security forces to counter terrorist groups.
The decision to send the Sukhois to Australia is believed to have been approved by Dr Yudhoyono.