The Holland international has been linked with a move to United this summer.
And he told Voetbalzone: "Manchester United is certainly a great club.
"I'm only 21 years old and I'm not in a hurry. There must be something good with a good plan. If not, then I'm at the right place at PSV.
"I think if you go to a new club, maybe a better club, you automatically jump a training level. I know what I can do."
Bergwijn added of his own personal goals: "I would like to win the Champions League, the European Championship and the World Cup, the whole package!"