Solanke got another opportunity a few minutes later from the six yards, but his powerful shot did not get the best of Pickford, with the Everton goalkeeper making a brilliant save to keep his side in the game.
At the other end Karius was called into action to quickly move across his goalline and tip a Bolasie curler away with his fingertips.
Next up for the reds is a trip to Manchester on Tuesday night for the second leg of the Champions League Quarter Final.
"We have now a problem to find players for Saturday, and everyone's telling us it's the most important game of the year, and that's quite hard", said Klopp.
He said, "We controlled the game for around 60 minutes, then everything got a bit emotional".
"We were not here to play a wild derby today, it would not have made sense, so I think it was quite hard for Everton to get the game they wanted with challenges and stuff like that".
"I don't feel like I am on trial". All game, none of us could understand why they couldn't come down this side. We need to play and that's what we didn't do, and that's why we came under pressure.
Watch Black Panther's T'Challa Show Up On SNL's Black Jeopardy
As Hayes assures him he's finally getting it, T'Challa finally answers by stating, "Aw, hell no, Karen". "I mean, it should be". Among the categories the constantents were playing for included "Aw Hell Naw", "Fid'na", "White People" and others.
Cenk Tosun can't convert a late chance for Everton at Goodison Park. It was very emotional then, but I am not sure we were too lucky because they didn't hit the target but it was unsafe. "I think it's a fair result". I thought Millie played quite well today and in a normal game without seven days before and seven days after, we would never think about getting him off in this game.
When asked about his verdict on the result, the Reds shot-stopper expressed,"I thought we did really well first, the start of the second half as well".
One of the best ways for a manager to get more fans on board is with an emphatic win in an important derby match.
On Mohamed Salah's fitness and whether he'll be ready for Tuesday's trip to Manchester City...
Liverpool had a large majority of possession and chances at goal, and while one can't expect every option to be on Salah's level, Liverpool's attackers really should have put Saturday's fixture to bed several times over. If I believe everything I read then we are going to have 10 keepers at the club next season. Of course not. I am completely happy.