America progressed from a difficult group which included Klinsmann's native Germany and Cristiano Ronaldo's Portugal, but bowed out on Tuesday after suffering an extra-time defeat to Belgium in their last-16 match.
The 49-year-old is immensely proud of his side's efforts, and feels that there is the potential in the squad for them to also have an impact in four years' time, when Klinsmann hopes to still be manager.
"I think so. Yes, I think so," he replied when asked by reporters whether he will be coach in 2018. "We have to move on. There are some young players who are coming through but are not there yet. I think there is a lot to build on going forward.
"It's a bummer for us to end on the losing side after giving everything to the fans for 120 minutes. It was a real drama, a thriller and we had possibilities to equalise at the end.
"We are very proud of every player. They made their country proud today and with their performances in the World Cup."
Klinsmann, who took the USA position in 2011, has been linked with the vacancy at Turkish giants Galatasaray.