According to final opinion polls, the 39-year-old head of state’s Republique En Marche! (REM) party could win between 395 and 425 seats in the National Assembly.
If the CEVIPOF-Le Monde figures prove correct, this would be far above the 289 needed to secure an absolute majority.
And the result could prove a huge advantage for the fiercely pro-EU Mr Macron in the run up to Brexit negotiations.
READ MORE: What would Emmanuel Macron mean for Brexit?
Mr Macron previously described the prospect of the UK leaving the European Union as “a crime”, and insisted: “The EU will be united in Brexit negotiations.”
But he also said he would rather see a so-called Hard Brexit – including UK leaving the European Single Market – rather than conceding advantages to the exiting state.
On the campaig trail he said: “If your Government decides to organise a Brexit, I will be pretty tough on it,” he told Channel 4 in February.
“We have to preserve the rest of the European Union and not to convey the message that you can decide to leave without any consequences.”
A total of 7,882 candidates are running for 577 seats in the National Assembly in Sunday’s first round of the two-stage legislative elections across France.
REM candidates include a number of political newcomers, including a retired bullfighter, a fighter pilot and a mathematical genius – while half of them are women.
Around 47million voters could vote in the elections today, just over a month after Mr Macron became his country’s youngest-ever president on May 7th.
While in the UK, chaos ensues after British Prime Minister Theresa May failed to pull off her election gamble – actually losing seats.
No majority government emerged following last Thursday’s General Election, and Mrs May has been forced to begin talks with the hardline DUP in order to ensure her minnority Tory government can push forward with a successful government.
The move has proved extremely controversial and Mrs May has faced damning calls to resign.
The election in France comes as EU Commissioner Phil Hogan warned the results of Thursday’s election proves Britons are opposed to “the notion of a hard Brexit”.
He said leaving the customs union would be “economic suicide” and that the next government would likely opt for a soft Brexit instead.
The move would infuriate anti-EU campaigners, who want Britain to fully cut ties with Brussels and strike trade deals with the rest of the world.