Yes, Liverpool are also working very well in the off season. They have literally just announced the signing of a defender from Bournemouth, Milos Kerkez. I see that they signed him on a five year contract. Actually, that is a very long deal, but considering that Kerkez is only 21 years old, I think it makes sense. The most important thing is for him to settle well in the team. Slot is making the right moves. Liverpool need to strengthen their defense, especially after Alexander Arnold left the team. I also see that most likely Liverpool want to sell Nunez because Napoli are showing very strong interest in him right now.
Liverpool are aware that next season the competition will be much more competitive so they are trying to bring in a number of players that the coach needs. Alexander Arnold's departure to Real Madrid will certainly have problems if Liverpool do not bring in the right replacement so they are moving faster to solve this problem. Next season the mission to defend the English league title will not be easy and Liverpool themselves also have a target to achieve the Champions League title.
Liverpool took a long-term step to recruit a number of players, especially since Milos Kerkez is still quite young and his future is still quite long so it is natural for Liverpool to take this step as a step to secure the players they have, thus they have solved the problem slowly to maintain consistency in competing..