Kim Kardashian offered a role at the Grand Prix as rumours swirl that she has snuck into Australia with F1 driver Lewis Hamilton

Rumours are rife that Kim Kardashian may already be in Australia with her F1 driver love interest Lewis Hamilton. 

The reality star, who has reportedly been enjoying a romance with Hamilton in recent weeks, has been offered a role at the Australian Grand Prix, which is underway at Melbourne's Albert Park. 

Hamilton, 41, is already in the country and was seen signing autographs at the iconic race track on Thursday. 

There was no sign of Kardashian, but Ferrari superstar Hamilton shared a social media post expressing his excitement over being Down Under. 

'Feels good to be back. We're bringing everything from pre-season to the track... Start as you mean to go on, talk soon,' he wrote on Instagram on Thursday evening. 

Kardashian's own Instagram account, however, currently offers few clues on where in the world she may be. 

There is a gig waiting for Kim at the track should she show up, with Australian Grand Prix chief executive Travis Auld offering Kardashian a 'role' at the event. 

'I mean we'd have to think about things a bit differently if she turned up,' Auld told The Herald Sun on Wednesday. 

'We've certainly got a spare seat for her. But that's the world of Formula One, isn't it? It attracts some personalities.'

Kim and Lewis appear to be taking their relationship to the next level, after enjoying a luxurious trip together in Utah just days ago.

In footage obtained by TMZ, the new couple were spotted taking in the sunset at the exclusive vacation destination along the Colorado River on Saturday evening.

Per the outlet, the secluded overlook is 'within striking distance' of Amangiri, an ultra-exclusive five-star desert resort.

Amangiri, which offers luxury suites that range from $3,500 and over $7,000 per night, is a discreet hideaway for celebrities seeking total privacy. 

According to the outlet, the pair were spotted snapping a cosy selfie together before heading back toward a waiting black SUV parked nearby.

The reality star and the British Formula One champion only made their first joint public outing last month at Super Bowl LX, but their recent travel itinerary suggests this romance is quickly moving into serious territory. 

A source also told The Sun: 'Kim and Lewis's relationship is intense but they are both keen to keep moving forward. He wants to spend as much time with her as possible, especially as he'll be back getting ready for the new F1 season in a couple of weeks. 

'Lewis has been in LA, spending time with Kim and her family. They all adore him, especially her mum Kris [Jenner], who has loved having Lewis around.

'They're all really approving of this relationship. They just want to see Kim happy.' 

Kardashian and Hamilton have been friends for years, and were pictured with their then-partners, Kanye West and Nicole Scherzinger, in 2014 at the GQ Men of the Year Awards in London.

Hamilton has also been close friends with Kardashian's sister, Kendall Jenner, for years, while her mother, Kris Jenner, has been seen cheering him on at the Monaco Grand Prix.