The Dutch driver hopes that he and Ferrari & # 39; s Charles Leclerc, also 22 years old, will fight for the throne of the Mercedes driver next year.
"I think it is good for the sport to have the young boys appear now and hopefully soon to take over," said Verstappen for Sunday's Brazilian Grand Prix, the first race since Hamilton captured his sixth title in Texas.
"It's a bit boring to see Lewis win, so we have to try to change that," he added.
Verstappen has 100 starts and seven wins to his name since he became the youngest driver in the sport, and would become the youngest champion of the sport ever if he wins the championship next season.
Hamilton, who can match Michael Schumacher& # 39; s record seven titles and surpass the German's 91 victories, turning 35 in January.
"He is getting older … so it will certainly stop at some point," said Verstappen.
"It will just depend on the team, to be honest. It won't depend on Lewis.
"If Mercedes continues to build truly dominant cars, it will definitely win. So as a team we have to make sure we can beat them."
Verstappen said motorcycle partners Honda had a breakthrough year in 2019 and he was convinced that former champion Red Bull, third overall, could be in the mix in 2020.
"I think we are on the right track. If you see the engine power compared to Mercedes and Renault, we are now very close to Mercedes so that is very promising for next year," he added.
From his relationship with Hamilton, Verstappen said the Brit was "very special and definitely one of the best drivers ever" and said he had never really had a problem with him.
"We spoke on the grid [in Austin]. I respect Lewis of course, but we are also hard racers and sometimes it can be a bit harder. But we talked and it's all good."
Verstappen acknowledged that he had made mistakes this year, despite a strong and consistent season, but otherwise would not want to.
"Everyone makes mistakes, otherwise it is better to use a robot," he said. "It is also good to make mistakes, you learn from them."
He said he was happy with Red Bull, despite speculation that one day he could replace Hamilton or join Hamilton at Mercedes.
"I really want to win with Red Bull," he said. "I really feel at home, which I think is very important for a driver – that you feel appreciated."