Wagga residents have been warned not to travel to the border unless they "absolutely have to" in order to help prevent the spread of coronavirus.
NSW Premier Gladys Berejiklian said the probability of contagion in the state was now "extremely high".
Wagga MP Joe McGirr says he supports checkpoints being established north of Albury to stem the travel of Border residents and the spread of coronavirus.
Dr McGirr, speaking ahead of an official briefing, said there was "a real risk" of people living in border towns using their permits to travel further into NSW after it was sealed off from Victoria at midnight on Tuesday.
However, he said another checkpoint in Wagga itself would not be useful because of the city's location.
Speaking at a press conference this afternoon, Ms Berejiklian warned Wagga residents not to travel to Albury unless they "absolutely have to", while those living on the border are banned from travelling elsewhere in the state.
Commercial real estate agent Peter Campbell, who has offices in Wagga and Wodonga and works with more than 20 businesses all along the border, said navigating the closure was "really complicated".
"If I lived in Albury I'd get a border permit, but because I live in Wagga I won't," he said.
Riverina Fresh chief executive Rob Collier said his business, which supplies dairy products to regional Victoria and Melbourne, had secured border crossing permits without issue, but had faced traffic congestion in Albury-Wodonga.
"Everybody's pretty cognisant of what's going on so they're pretty tolerant and understanding ... there's a lot of goodwill," he said.
"One thing that's helped the volatility is the support from the local Riverina community."
Ms Berejiklian is considering more police checkpoints after a marathon night in which Service NSW issued more than 50,000 permits to allow those in Albury-Wodonga and other border towns to travel across the state line within their communities.
"The permit for those border towns is not a free pass for you to travel through NSW. It's not a free pass for you to travel from Albury to Wagga because you need to pick something up," she said.
Dr McGirr said the communities south of Wagga were used to having a relationship with Victoria.
"I'm in Lockhart today and they do get some supplies from Victoria ... And I think if you want to stop the spread you need to have that [additional] barrier close to Albury," he said.
Dr McGirr said roadblocks would be a "another deterrent" to people undertaking what he called "discretionary travel" for non-essential purposes such as shopping in Albury.
"I think it's pretty important that we contain the virus and I get a strong sense that communities along the border, certainly the communities in our region, are very keen to keep the virus out," he said.
Wagga mayor Greg Conkey doubted whether a checkpoint in the city "would do much good" and thought it would have to be somewhere on the Hume Freeway.
"If you're in Wodonga and you've got a permit ... there might be a minimal number of people who would abuse that," Councillor Conkey said.
"I can't see that being an issue. But I'll be guided by what others say."