Daley Blind flicked the ball in Tagliafico's direction, with the left-back poking the ball into his own net as he attempted to clear the ball.
Speaking after Nicolas Tagliafico's own goal had given his team the points, Klopp, whose side managed 16 shots in total, explained his job was further complicated by concerns over potential injuries ahead of the game.
With attempts to shore things up failing, Klopp instead opted to switch things up in attack, calling Diogo Jota, Takumi Minamino and Xherdan Shaqiri from the bench to replace his starting front three.
Liverpool are back in action this evening as they travel to Amsterdam to take on Ajax in the Champions League group stage. "The pitch was deep and muddy", Klopp said.
"We will try to find solutions, but I have no idea how they will look".
"Of course, they had their moments, but apart from that we were pretty dominant on a hard pitch for both teams".
"These dirty wins are really important, and probably helps us more than an easy win, which wasn't possible against Ajax". "Unfortunately, we didn't make the most of that".
Klopp was forced to rotate his side for Wednesday's game due to multiple injury issues.
Matip required a precautionary scan after a muscle injury picked up in Saturday's Merseyside Derby against Everton.
The 26-year-old Fabinho produced a magnificent display away against Ajax in the Champions League on Wednesday night, dropping back into defence and partnering Joe Gomez in the Dutchman's absence.
Jurgen Klopp is without Virgil van Dijk after the defender was ruled out for several months with a serious knee injury while Joel Matip hasn't made the trip to Holland after picking up a knock at the weekend.
And Klopp joked afterwards that his medical staff had decided the team for him, and that the players he selected looked rusty because they weren't used to playing together.
"It was not sunshine football but we wanted three points and we got it".