On Wednesday, the versatile back rejoined the Western Force on a one-year deal to mark a "full circle" moment since making his Super Rugby debut with the club as a teenager in 2008.
O'Connor says he'd be happy to play anywhere for the Perth-based outfit, including from the bench, as he believes the opportunity to play in the competition can better remind Kiss of his intention of wanting to feature in green and gold.
The move comes after fellow veterans Bernard Foley and Nick Phipps inked deals with the NSW Waratahs as they also look to propel themselves into Kiss's gaze ahead of next year's World Cup.
"I've been speaking to Kissy. I haven't let him know my intentions fully, but maybe he's hearing this," O'Connor said.
"He knows I'm hungry for it. He knows I want to be involved. So I'll let my rugby do the talking."
The 36-year-old would be a valuable asset to the Wallabies considering he is an experienced and quality playmaker, and would provide competition to current flyhalves Carter Gordon, Ben Donaldson and Declan Meredith.
Although O'Connor was axed for the 2023 World Cup squad, he made a shock return to help the Australians claim a historic victory over South Africa last year at Ellis Park and subsequently played a key role throughout the Rugby Championship.
"The plan was to call it quits in 2023 after the World Cup. I couldn't make the World Cup and then it changed the goalpost for me," O'Connor said.
"I was 21 when I left (the Force). Not saying I was immature but ... I've had to develop a lot and create some other skills in my life that are useful.
"I've hit the mountaintop and come back down. So it hasn't been an easy ride. The man I am today ... I'd say is a lot more balanced, but definitely a lot more mature."
James Slipper became the next veteran to extend his rugby union tenure on Thursday, and said the addition of O'Connor, Foley and Phipps would be precious for the Wallabies.
"Experience in this country is sometimes underrated," he said.
"What I know about those three is ... they'll make sure they're good to go for their club teams, and it (Wallabies selection) really comes down to performance.
"No name's going to get you into the World Cup squad."