Klopp named a host of youngsters including debutant keeper Danny Ward in his team for the trip to the south coast but the gamble paid off as they claimed a 2-1 win.
The Reds had little time to prepare for the clash following Thursday’s stunning comeback against Borussia Dortmund in the Europa League.
Fatigue was top of the list of reasons for Klopp and he insists a much-changed team was their best chance of victory.
“I had to pick these players because we had no other chance to win,” Klopp said.
“Sometimes rotation is for resting players for another tournament but this is not the case here. Always the most important tournament will be the Premier League. We only rotated because we wanted to win the game.
“You cannot rotate to try to win a tournament, you can only do it to try to find a few more fit players. That’s what we tried to do here.
“Now we have two more Premier League games before Villarreal so we don’t even think about the Europa League yet.”
Roberto Firmino and Daniel Sturridge scored quick-fire goals before the half-time break to put Liverpool clear.
Josh King hit a consolation at the death for Bournemouth and Eddie Howe was left to rue the timing of his strike.
“I felt the goal came too late for us,” the Cherries boss said.
“We felt in the second half had we got that goal earlier it would have made an interesting end to the game.
“We were missing that spark, especially in the first half.
“You have to give Liverpool credit.”