The Spaniard was the official starter at last weekend's race, dropping the French flag to get proceedings underway. His presence at the event helped fuel rumours that Ferrari were about to confirm their own return to the top-tier of endurance racing on Saturday morning.
That did not materialise, but Alonso told TV reporters that he plans to race at the 24 Hours at some stage.
“It's the first time here for me, so it’s a completely new experience," said Alonso. "I'll try to enjoy this weekend that I’m not in the car, and let these guys compete.
“It’s a race that’s very attractive for all of the drivers, it’s very prestigious, so yes, I think one day before later I’ll come here,” he said when asked if he would like to compete at the La Sarthe circuit.
Alonso's natural switch to sportscars would be as part of a Ferrari LMP1 assault, which despite not being confirmed is still considered a real possibility.
Given that the Scuderia would likely enter in two to three years - by which time Alonso's F1 career will be nearing its end - speculation has already placed the two together. The 32-year-old's current Ferrari contract runs through the 2016 season.
Nine former grand prix racers competed in Le Mans' top-tier LMP1 class this year, among them Alonso's good friend Mark Webber. Several others race in the LMP2 and GT classes, including Alonso's former Renault team-mate Giancarlo Fisichella, who took class honours last weekend in Ferrari's GT entry.