Julia Banks was one of the unexpected heroes of the Coalition's 2016 election win and on Friday voters in her electorate were standing by her amid questions about whether she held dual Greek Australian citizenship.

The successful campaign for the federal electorate Chisholm was lauded as a significant Liberal victory after Ms Banks took the seat that Labor had held for almost 20 years.

Chisholm is home to some highly multicultural suburbs, including the lively Greek centre of Oakleigh, while in recent years people from Chinese backgrounds have also moved into the area. 

The electorate sits in Melbourne's eastern suburbs, and takes in suburbs including Box Hill, Clayton, Mount Waverley and Chadstone.

The news about Ms Banks' citizenship doubts was yet to percolate through her electorate on Friday afternoon, where locals continued to go about their business, largely unaware of the possibility of a constitutional crisis. 

In Maggie Timms Hair Design, Gay Morris, who describes herself as a 70-year-old swing-voter from Burwood, found the whole controversy ridiculous.

However, Ms Morris said she would consider any potential candidate in a byelection on merit.

Gay Morris, with her hairdresser Heidi Miller. Photo: Joe Armao

Steve Walsh, a 33-year old mechanic from Box Hill South, said he voted for Ms Banks at the last election because of the Liberal Party's "hard-nosed approach" to cracking down on welfare fraud.

Mr Walsh said he would likely vote Liberal again, if Ms Banks was ruled ineligible and a byelection held. 

Steve Walsh, mechanic, Box Hill South. Photo: Joe Armao

Stuart Cox, 47, was busy behind the counter at Australia Post sorting packages and scanning passports. Mr Cox is a swing voter and supported the Liberals at the last election, due to Malcolm Turnbull.

"If Malcolm is still there I'll vote Liberal again definitely," he said

Julia Banks visits Eaton Mall in Oakleigh with Malcolm Turnbull in 2016 Photo: Eddie Jim

Yet, Monash University politics lecturer Zareh Ghazarian said a byelection would likely favour Labor in the "classic marginal seat".

"If Julia Banks was to be deemed ineligible the government has a big problem," he said.

Dr Ghazarian said the government held the seat by just over 1 per cent, which Labor had held for almost 20 years under popular former speaker Anna Burke.

Ms Burke stood down before the last election after winning the seat in 1998.

Dr Ghazarian said a byelection was likely to encourage many candidates who would "splinter the vote".

"The more candidates there are, the greater the volatility in the vote."

One senior Labor strategist expressed confidence that the party could regain Chisholm if a byelection was held, although it would likely be a tight race.

The challenges for young people struggling to buy into the property market, mortgage stress and security for renters would likely form major planks in a Labor campaign.

Ms Banks snatched Chisholm after the Liberal Party mounted a campaign that was partly underpinned by a social media strategy that targeted voters from Chinese backgrounds.

Ms Banks won the seat at the 2016 election after Ms Burke announced her retirement.

A swing of 2.84 per cent was enough to get Ms Banks over the line.

She defeated Labor candidate Stefanie Perri by 2154 votes on a two-party-preferred basis.

A local businessman, who declined to be identified, said he voted for Ms Banks because "she appeared to have good policies". 

He said would continue to vote for a conservative party should there be a byelection. 

Another local - a Labor voter - said he would be happy if the citizenship debacle damaged the Turnbull government. 

"Personally I'm a Labor voter, so anything that helps is good," he said.