Johannsson hit the winner for US against Panama earlier this month.
Klinsmann said: "Seeing Aron Johannsson breaking through and scoring goals at AZ Alkmaar, especially the way he scores goals, is really nice. We followed him for almost two years and obviously hoped he'd play for the U.S., which he ended up doing. Now you can see his confidence is getting stronger and stronger, week-in, week-out.
"He has the qualities to be cold blooded in front of the goal. He has the quality to see through things and those two goals prove it. Also his goal in Panama was very focused, very dry. He said, 'I'm going to put it in the bottom left corner,' and this is really great to see for us. We hope to see him grow now every month a little bit more."
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