Klinsmann's side were seconds away from sealing a place in the second round, but Portugal rescued a 2-2 draw courtesy of Silvestre Varela's last-gasp header on Sunday night.
A draw in Recife this Thursday would prove enough for the Americans to progress from Group G in second place, but the German coach says that three points is very much on the agenda against his compatriots.
"We have that fighting spirit, and we give everything in every game," he is quoted as saying by FIFA.com. "We will go to Recife and we will give everything to beat Germany. That is our goal."