The 16-year-old is joining Toro Rosso for the 2015 campaign. Verstappen - currently competing in Formula Three - will replace Frenchman Jean-Eric Vergne at the Red Bull-owned team.
"I am a relaxed guy, so I think I will handle it," he said. "I hope to offer a lot of action. But I think, in the end, I am quite relaxed. You have to work hard for it, but at the same time you can also have a little fun.
"I'm not that worried about it. The cars are really safe. I think it's more dangerous to cycle through a big city than to race in an F1 car."