The Reds moved to within nine points of Man City at the top of the Premier League table, and they still have a game in hand over Pep Guardiola’s side.
With the wind howling and the rain falling, Fabinho’s goal was enough for Liverpool against bottom-of-the-table Burnley, who have won one league game all season.
Man United tripped up in a similar situation midweek at Turf Moor, and Klopp was thrilled that his side came through the test.
“I’m absolutely delighted with the way we played the circumstances, it was so tricky,” Klopp said.
“Only when you stood on the pitch could you feel the extent of the wind, it was ridiculous.
“The boys stuck with it and over the years have learned to deal with the circumstances. We asked ourselves to use it instead of suffering from it. A really difficult game, yes.
“They had their moments but I think it felt they had more moments than they actually had because of the late offside flag when Ali (Alisson Becker) made saves he didn’t need to. That is the way it is.”
Liverpool now turn their attention to the Champions League, where they face Inter Milan on Wednesday in the first leg of their last-16 clash.