Slot was unconcerned by Everton's fight-back as the Reds won at Anfield today.
He insisted: "Very happy.
"Taking everything into account that we had to play our third game in seven games, having the early kick-off. I don't care at all about the early kick-off but I do care if you have to play on Wednesday night then you have to manage this through the whole week.
"Taking that all into account and winning the derby with a great first half performance, it is good."
On the goals, Slot said: "This is what you get when you are fresh but we were tired in the second half for obvious reasons. Our mentality kept us in the game because they didn't have another chance after their 2-1 goal.
"We have showed great mentality and showed great quality when we were fresh in the first half."