United States international Pulisic scored a brace as Dortmund came from behind to beat Liverpool 3-1 at the Bank of America Stadium in Charlotte on Sunday.
Klopp opened the door on a possible transfer for the 19-year-old during his pre-game news conference, admitting his admiration for the Dortmund star.
Speaking to reporters after Pulisic's display, Klopp said: "I didn't see anything new, just that he's a bit older and has new tattoos!
"He's a fantastic skilled boy, and it's not a surprise to see. He's a smart player, and unfortunately the USA needs more of these players. He alone cannot do it all.
"Don't put too much pressure on the boy, hopefully you can have a few more of them and then play very successful soccer in the future. If Belgium and Iceland can go to a World Cup then so can the USA. I think he'll be fine."
Liverpool appeared set to open their ICC campaign with victory thanks to Virjil van Dijk's 25th-minute opener, until Pulisic inspired Dortmund's comeback after the hour.
Pulisic converted a 66th-minute penalty before putting Dortmund ahead with a minute of regulation time remaining, while Jacob Bruun Larsen sealed the win in the 93rd minute.
"We have said it a few times that football is a results game, and we lost. Dortmund scored three, we scored one, that's how it is. That's the fair result," said Klopp.