Ainslie beat Scott to Team GB's one spot in the Finn at London 2012, but the two men are now set to become team-mates in one of sailing's greatest competitions.
Scott's interest has been fired by the confidence expressed in him and a belief that matching Ainslie's Olympic Finn class hat-trick is beyond him.
Ainslie's won the Finn gold medal in Athens in 2004, again in Beijing four years later and then again in London, making him the most successful sailor in Olympic history.
He claimed Scott could "dominate the class through the next Olympic cycle and further if he chooses to" after his comprehensive success in Brazil.
But Scott, 29, has said: "I haven't given Tokyo 2020 any serious thought. I'm not going to sell my equipment and I will keep my boats. But I'm not going to commit to anything.
"And I'll be 37 in 2024 - and that's too old. The Olympics is the biggest part of what we do, but in terms of doing multiple Olympics I don't know. There are a lot of options in the sailing world."
Ainslie's British boat currently leads the way in the America's Cup World Series standings - the heats used for the 2017 Bermuda-based event - heading into the next race weekend in Toulon on September 10-11.
The World Series uses 44-foot long AC45 catamarans, a one-design wingsail boat which has a six-man crew.
"It is very different to Olympic sailing, the polar opposite really," said Scott. "The AC boats have a speed of 35 knots compared to the seven knots that the Finns do.
"This is the pinnacle of yacht sailing, but it also very much a design race like Formula One. It is a yacht race but you are never going to win it unless you have got right design.
"You need a talented team of sailors and designers, and it would be great if we could bring the America's Cup back to the UK."
-Staff reporters and the Telegraph
