Klopp watched from the stands because of a touchline ban, felt his side were the worthy victors in London.
"I saw my team fighting and for us we deserved to win this game," he said.
"Winning abroad in London, of course you need a bit of luck for that but if you manage to make the difference with one extra goal then I think you also deserve it.
"If you watched this game not for Arsenal and not for Dortmund, you can say maybe Arsenal had some better situations but they played at home and we didn't come here to dominate Arsenal in London, we came here to get a result and that's what we did."
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