Sixth-placed Spurs trail champions-elect Liverpool by 36 points ahead of Sunday's trip to Aston Villa, but manager Jose Mourinho said after his appointment in November that they could win the League next term.
Asked what he wanted to achieve at Spurs, Bergwijn told Sky Sports: “Everything that is possible.
"I think we have to look to next season and everybody wants to be champions. [I want] to win as much as possible, I want to achieve that."
“It was like a dream for me, it was amazing," he said.
“It was a hard game but we worked hard for each other. I didn't know what to do [when I scored]. Mourinho was happy for me, but he was happy that we got the three points, he told me just to play. He has worked with a lot of big players so he knows what he is doing."