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Competitive video gaming generated £400m in revenue in 2016, has a global audience of about 320 million, and will be included in the 2022 Asian Games.
"We have to look at it because we can't say, 'it's not about Olympics,'" Paris 2024 co-president Tony Estanguet said.
"The youth are interested, so let's meet them," he told the AP news agency.
"I think it's interesting to interact with the IOC and the esports family to better understand what the process is and why it is such a success.
"There is some time to look at it, to interact, to engage. I don't want to say 'no' from the beginning."
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Paris' hosting of the 2024 Games - and Los Angeles' in 2028 - is set to be officially ratified at an IOC congress in Lima, Peru in September.
The 2024 programme will start to be shaped in 2019, and a decision on what sports are to be added in Paris will be taken after the 2020 Games in Tokyo.
"We will spend some time after Lima to engage with new people and stakeholders," Estanguet said.
"The IOC will have the last say if they want esports on the programme. Let's discuss among ourselves."

Gudjohnsen, who has also played for Barcelona, Bolton, Stoke and Fulham, has been with Norwegian club Molde since February.
His short spell with Chinese Super League club Shijiazhuang Ever Bright ended in November 2015.
Iceland co-manager Lars Lagerback said: "If he hadn't found a club in January, he would not have been picked."
Listen: Iceland can be a Euro 2016 surprise, says Bergsson
Gudjohnsen, who has won 84 caps for Iceland, is arguably his country's most celebrated player, having enjoyed an international career spanning 20 years, in addition to winning two Premier League titles with Chelsea and the Champions League and La Liga with Barcelona.
He retired from international football in November 2013 after Iceland lost a 2014 World Cup play-off to Croatia, but was recalled in March 2015.
Gudjohnsen played three of Iceland's 10 Euro 2016 qualifying matches, scoring one goal as they reached a major tournament for the first time.
He moved to Molde - coached by former Manchester United striker and Cardiff manager Ole Gunnar Solskjaer - with the intention of playing regular games in order to secure a Euro 2016 place.
Heimir Hallgrimsson, who co-manages Iceland with Lagerback, said: "He has taken a step up at Molde. He looks fitter and has shown the desire necessary."
Esports could be added to the Olympic Games programme in 2024, with the Paris bid team keen to discuss the issue with the International Olympic Committee.
[NEXT_CONCEPT]
Former Chelsea forward Eidur Gudjohnsen has been named in Iceland's Euro 2016 squad at the age of 37.