The Australian supermodel, who was first romantically linked to Carlton footballer Hampson in January this year, was spotted driving him to Melbourne's Epworth Hospital to have scans on his injured knee earlier this week.
The alleged couple were then photographed by The Daily Telegraph picking up takeaway food at burger joint Andrew's Hamburgers in Albert Park.
Gale split from comedian Andy Lee last year after four years together, but they later insisted that they still "get along great".
When the Hampson rumours first surfaced, Gale said that she did not understand how she "could be having an affair with someone [she's] actually never met". She also said: "Things do tend to spread a bit quicker than they used to. But what can you do about it?"
The 35-year-old recently made her debut as the new host of Project Runway, but has been hit by rumours of "nothing but the best" demands on set. She later said that she is not a diva but a "perfectionist".
Gale later accused paparazzi photographers of "harassment" when they tried to take her pictures as she left a Sydney hotel.