"We were the better team and you could see that the pressure on both teams was big," he told Sky Sports 1. "A little bit more for Sunderland because of the intensity of the last weeks and months.
"You could help yourself if you got an early goal, we didn't but we did not do too bad in situations against a very good defending team. They were only defending so that makes it pretty hard for us because you don't get space and you always have to go again and slow down the game.
"Then we made the goal after half-time and we controlled something like the game.
"They were waiting for set-plays, they are difficult to defend but we did it. We could have got made a second or third one, we didn't, we had to wait until the final whistle."
SUNDERLAND 0-1 LIVERPOOL
- MATCH REPORT: Benteke makes the difference to round off 2015
- TALKING POINTS: Benteke improves, but Klopp wants more
- PLAYER RATINGS: Lovren wins Man of the Match
- TACTICAL REVIEW: Central stability sees Reds edge out Sunderland
- FAN REACTIONS: “Important we put on a little run now”
- SAKHO FITNESS UPDATE: “For me, that’s a red card”
- KLOPP OPTIMISTIC: “Everybody needs a little bit of luck”