Alonso, 36, is driving a full season of World Endurance Racing this year alongside his F1 commitments for McLaren; the WEC even moved a race to ensure the Spaniard would not miss their event in Japan.
And the two-time F1 world champion added the prestigious 24 Hours of Le Mans title to his trophy cabinet last month in the Toyota Gazoo Racing team alongside Kazuki Nakajima and Sebastian Buemi, both of whom used to race in Formula 1.
Alonso also missed last year’s Monaco Grand Prix to take part in Indy 500, the IndyCar race which would now complete the “Triple Crown” of motor sport which he is pursuing.
But Verstappen, 20, has ruled out ever making similar moves to dip his toe in the water outside of F1.
“Maybe. If I’m old and slow, I will do it,” Verstappen said.
“When you have the best car on the grid, everyone can win with that car.
“Any F1 driver could have won in the Mercedes for the last four years. Everyone knows that.
“That’s why you don’t see Hamilton leaving to do these things because he doesn’t need to.
“It’s the same for me. I’m in a position to fight for victories, so my motivation is very high.
“I don’t want to do Le Mans or IndyCar or whatever.”
Alonso has endured a dire period at McLaren since returning to the team in 2015.
It is now four years since he has even finished on the podium and while the winter switch from Honda engine supply to Renault has failed to fix the issues experienced by the team.
Alonso has also warned that the summer European swing will not make life any easier for the team with even challenging for a top-three spot a distant and apparently unlikely dream.
And Verstappen, who is the son of former F1 driver Jos Verstappen, has personal experience of the frustrations of running at the back of the field.
“My father had the same problem,” Verstappen Jr added.
“He was in F1 but he didn’t win, and there’s a moment when the motivation simply disappears and it kills you inside.”