Burgess, who is heavily pregnant with the couple's second child, shared a photo of her sitting in the sun on a picnic rug beside the pair's 19-month-old daughter, Poppy.
Burgess also tagged the rugby league star in the photo, suggesting that the soon-to-be mother-of-two is sticking by her husband despite the bombshell claims he is at the centre of a Rabbitohs sexting scandal involving a 23-year-old woman.
The club revealed that it had contacted the woman on Friday, and that a panel had been established to co-ordinate the investigation alongside the NRL integrity unit.
Rabbitohs coach Anthony Seibold admitted he was only made aware of the sexting drama on Thursday and that it was up to him to ensure the players' minds were on the job.
"They're professional athletes. I'm a professional coach. So that's our job," Seibold said.
"We've got to make sure that we have a really competent session (on Friday) in the team meeting room, and it's led by me.
"I need to make sure that I'm across what we need to do for tomorrow night's game. We've had a really good preparation so far.
"Obviously it's not ideal that these accusations have come out and they're front page news. It's not what anyone wants, it's not what I want. It's not what our game needs."
The Rabbitohs face Sydney rivals the Roosters on Saturday night for a spot in the NRL grand final.