Roberto Firmino scored a victor for the second weekend running as Liverpool beat West Brom to go third in the Premier League.
Klopp also commented on Alberto Moreno's late miss as he failed to take advantage of an open net, shooting wide from distance with Sturridge also bombing upfield.
Liverpool could still be passed by Manchester City if they win their game in hand but they hold a healthy lead over Everton, Manchester United and Arsenal.
Much of the pre-match buildup focused on Liverpool's issues in coping with set-pieces - a real strength of West Bromwich under Tony Pulis.
Liverpool's remaining games are against teams outside the top eight as the club seeks a return to the Champions League after a two-year absence.
"It is one of the most hard places to come because in no game can you feel comfortable", he told a post-match news conference.
"And then we want to move onto 69".
Klopp said he felt his side's performance after the break had been an improvement on their efforts before it, adding: "In the first half, we didn't play too good [in terms of] football".
"In the second half, we did this much better".
"That makes it really hard, so you need to be at your highest concentration level - but we have been".
"You can always do better, but we learned in the game and I liked it a lot that the second half looked better tuned than the first". I really thought that the boys, in a really hard game, did really well.
"But today it was really good and I am happy about this".
Goalkeeper Simon Mignolet preserved the points with a crucial save, denying Matt Phillips in a one-on-one situation, and Klopp praised his all-round contribution.
The manager's reasoning was that if his players could deal with the ball in the air as it swirled about in the wind, they would be able to handle anything West Brom threw at them.
He said: "He could have played to Daniel, but maybe if he plays he is offside?"
Roberto Firmino and Philippe Coutinho have scored four of Liverpool's past five goals.