It was also claimed that Hurley has been flirting with Australian sporting giant Warne, 41, for months via Twitter.
And on Wednesday, he flew into the UK to shoot interviews for his new TV show Warnie, which is about to launch down under.
Russ and Terri are slowly starting to take their romance public, posting affectionate comments on each other’s social media accounts.
The mum-of-two took to Twitter to tell the 52-year-old Gladiator star she was ‘thinking of him’ on his recent birthday, while Russ has affectionately called Terri ‘love’ on social media.
After years of friendship and mutual affection, Terri Irwin and Russell Crowe broke the news to friends last week, revealing that they’ve been secretly dating for ‘several months’ and ‘can’t fight their love any longer’.
The surprise relationship comes as insiders reveal that the Oscar-winning actor – who split from his wife Danielle Spencer in 2012 – has been spending a lot of time at Terri’s Sunshine Coast mansion.
The 45-year-old Warne, engaged to British actress Elizabeth Hurley from September 2011 until the couple split up in December 2013, told Saturday's edition of The Times Magazine that he had been on a couple of dates after downloading Tinder.
(Warne Says he Misses IPL)Legendary leg-spinner Warne, who describes himself as currently "very, very, very single", was quoted as saying of his Tinder dates: "One was horrific.
Hurley said: "I last saw Jackie at a lovely party that Joan threw when she became a Dame last spring.
One was ok."He added: "People say, 'Why are you trying to impersonate Shane Warne?
' (Warne Compares Himself With Harvey Spectre)"I go, 'OK, yeah, I am.' And then they go, 'No! ' And you go, 'OK, it is.' And then they go, 'No, it's not!
Warne broke up with 48-year-old Hurley in late 2013.
The couple confirmed their engagement in 2011, but never made it to the altar.