In-form Liverpool eased past Derby County to reach the fourth round of the League Cup.
Manager Jurgen Klopp made seven changes to the squad that battled past Chelsea last week but the Reds were still dominant as they scored three against Nigel Pearson's side.
They will now shift their focus back to the English Premier League where they will host Hull City on Saturday afternoon.
"We were better and deserved to win, we created chances," he said.
"Could we have done better? Yes, a lot. Is it important tonight? No, because that's what you want to have. You need to be 100 per cent professional, be really serious and take games like these like they are.
"They could be difficult but it wasn't difficult because of us. The opponent was ready for each opportunity but we didn't give them [any]. So it was good.
"First half, we could have been a little bit better in the last pass. Second half, we could have been better in the counter-attack. That would have changed the result a little bit but we scored the goals, so it's not that I would say 'I would rather score this goal than this goal'. I take them like they are, 3-0, all good.
"I said already this is a very important tournament for us.
"Not only for me, it's not because I say it's an important tournament for us. For the players, it can be a very important tournament. If it is like this, you have to show it from the first second. Why should I go and make some magic things in a meeting that they [then] think it's an important tournament? It is and so let's go for it."