"There's a real fear about foot and mouth disease, and what quarantine people have been through and where they've come from," Galong wheat and canola farmer Tony Flanery said.
"It's something that poses a very real risk to us now, particularly," Flanery said.
He is reported as saying that he once found a couple "literally two kilometres" from the road inside on of his paddocks.
"They basically refused to leave. Like they had the camera set up on a tripod and were settling in for the afternoon."
Another farmer said: "It's equivalent to someone jumping into your front yard in Sydney to take a photograph with your flowers. That's my yard – get out."
Encouraging people to use the #lovensw and #newsouthwales hashtags, the New South Wales government said the Riverina region makes for "Instagram-perfect pictures."
"The state's main centres of canola production are about 4.5 hours drive west of Sydney, and home to hectare upon hectare of shimmering golden fields," the website says.
In Western Australia, however, the trend prompted a warning from the state authorities.
Jeff Russell from the WA Department of Primary Industries and Regional Developments, said there had been cases in the state's great-southern region of cars getting bogged and damaging crops.
"If you were in a town or city, you wouldn't want people driving through your backyard. This is farmland, you're driving through a farmer's backyard," Mr Russell said in the media.