The Reds toiled away at Gigg Lane but were unable to build on consecutive wins over Chester and Tranmere Rovers in their opening two pre-season friendlies.
Though there were flashes of quality as Klopp made a raft of changes throughout once again, they were unable to break down a stubborn Bury defence.
Speaking to reporters including The Redmen TV after the game, the manager explained that the “intensity” of Liverpool’s training sessions, and the blistering heat, were the cause:
“The mix-up of intensity in training, a lot of information in training, very warm weather and a very dry pitch is not the best preparation for a football game.
“I think we all saw it, we could have scored five or six times with a little bit more in the last [stages of attack].
“But these were the good moments and the rest was really a lot of intensity in the body, with all the tired bones and stuff like this.
“I saw a little bit more in the first half than in the second half, but both [Liverpool] teams struggled and that’s OK.
“Making the right decisions when you are really tired, when it is really warm and the ball is not really rolling is very difficult. I knew that before, and that’s what we saw today.”
Lallana started in the 3-2 win at Tranmere in midweek and was part of the second-half XI at Bury, as he builds towards full fitness after a difficult campaign last time out.
Having missed out on a place in the England squad for the World Cup, the midfielder will be eyeing a regular role for Liverpool this season.
Klopp praised his availability, and highlighted the importance of pre-season in building “a proper basis” for 2018/19:
“What an exceptional footballer he is, but he needs the pre-season most if you want.
“Because it was a long time that he couldn’t train, then he had this really quick ‘pre-season’ to help us as quickly as possible.
“Now we are really building again a proper basis and that’s what is happening in the moment.
“That he is able to play football is not a big surprise.”
Liverpool are next in action on Thursday night at Blackburn Rovers, in their final domestic friendly before setting off for the United States.