This was only his fourth goal in 12 games since Klopp took over as Liverpool manager from Brendan Rodgers in October.
"I spoke with the manager a few days ago about where I can improve and what he is expecting from me," Benteke told British media.
"We had a good conversation. We had like a 'man conversation' and I think it is going to help me and help the team.
"I think I have to run more and I have to be there for my team mates."
Benteke, who moved from Aston Villa in July for 32.5 million pounds ($48.37 million), had gone six league games without a goal before Saturday, with Klopp opting to start Roberto Firmino and Origi in attack.
"You could see against Leicester that I showed I understand his message and now I have to keep going like that," Benteke said.
"I want to start, of course. Every player wants to play but it is the decision of the manager and I have to be ready."
Liverpool are already missing striker Danny Ings for the entire season due to a knee ligament injury and fitness questions hang over England international Daniel Sturridge.
Klopp insisted on Saturday that he would not rush to include Sturridge in his starting line-up, despite the former Chelsea forward taking to social media to declare his fitness.
"Perfect gift for Christmas from the boys getting a win. On a sidenote, I'm back training and good to go," Sturridge said on Twitter.
Eighth-placed Liverpool will look to make it back-to-back wins when they take on Sunderland on Wednesday. The Black Cats, who are second from bottom in the table, are on a four-game winless run.
(Reporting by Nayan Das in Bengaluru, editing by Ed Osmond)
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