It is getting more interesting as time goes on that Liverpool doesn't make any transfer at all... I mean we are only 10 days behind the 1st week of the season in the PL. So when do they plan to sign someone?

I wonder if it is about Arne Slot's not sending any transfer list to the board or something else. I don't think the current squad is enough to stay in the title challenge until the end of the season.
We saw it clearly last season. Of course there is a new coach and we don't know about him yet. Maybe he will handle the team better than Klopp and surprise us all. But the chance of it looks lower than the other possibility to me.

But at least it would be interesting if Arne Slot really didn't need new players, because apart from reducing expenses, by not buying players, at least the coach would maximize the young players he has. Indeed, I also think that not buying players would be very risky, because it is very possible that the main players will get tired because there will probably be minimal rotation too. After all, it's not that Liverpool doesn't have the money to buy new players, but it looks like Arne Slot might have a different way or method in building a team.
Or maybe, in this transfer window they are not planning to buy players but, if as time goes by they are no longer able to maintain good performance, then maybe in the next transfer window they will buy players or in the second half of the season later. So yes, I think it would also be interesting if for example Arne Slot would succeed with a method like this, because if that happened then Liverpool might be said to be right or very lucky to have a great manager again.