"Thank you for being you and for being so damn good to me! You make it so easy to love you."
Carney's response has certainly set Married At First Sight fans' tongues wagging.
"Your pretty easy to love so wouldn't have it any other way. I love you," Carney posted.
Bradley last week posted another image of the pair looking cosy together, lying on the beach, where she said she is the "luckiest girl in the world".
"I have waited so long for the day to come where this saying makes complete sense and now it finally does," she wrote.
"One day someone will walk into your life and make you see why it never worked out with anyone else. You are 100 per cent that person and I am so incredibly in love with you.'
Carney had earlier confirmed the relationship in an Instagram post of his own.
Bradley's post on Thursday included a response to one follower's well-wishes and a suggestion that the reality TV star has found her "soulmate".
"Everything is falling into place perfectly," Bradley wrote in response to the fan's hope that the couple have found their significant other.
The couple have already been branded by at least one news outlet as the most controversial couple in Australia.
Bradley has repeatedly had to defend her actions for appearing to date Carney, despite appearing to be married to Vincent.
The 25-year-old has repeatedly had to point out that filming for the Channel 9 show finished five months ago and she has been contractually obligated to try to keep her relationship status quiet until the show's end date.
Despite this, Vincent last week came out swinging at Carney, where he appeared to criticise both Carney and Bradley's relationship tastes.
"You can really see Susie's judge of character by the people that she hangs out with," Vincent told The Daily Telegraph.
"I don't know the guy but look, those two go together."
He said he was poorly treated by his on-screen wife, despite claiming he was a "gentleman to her".
"This is only the tip of the iceberg, there's a lot of things that the public didn't get to see," Vincent said.
"Nobody deserves to be treated like that and I don't think that I acted in any kind of way to deserve to be treated like that so it annoys me."
Carney's love life is certainly going better than his football career.
The 32-year-old last year walked away from an NRL contract with the North Queensland Cowboys to move to Sydney to be closer to his mum, Leanne.
The North Sydney Bears then controversially signed the former Dally M medallist to a reserve grade contract — despite the club being ordered by South Sydney — the Bears' partnership club — not to sign the star.
In November Carney agreed to a deal with the Byron Bay Devils to be the club's captain-coach in 2019, an agreement that essentially killed any chance Carney had of trying to return to professional football.
Carney this year was announced as Souths Sunnybank Rugby League Football Club's junior development coach in Brisbane.
The 32-year-old was embroiled in several off-field indiscretions during his NRL career, ending with the infamous bubbler incident in Cronulla where he was kicked out of the game when a video showing him urinating into his own mouth went viral.
At least his relationship is bubbling along nicely.