The Reds have bolstered their squad by signing defender Ibrahima Konate and have been linked with a host of other players but the coach is not concerned about departures for the time being.
Klopp told Liverpool's website: "I’m really not in a rush about that.
"If somebody wants to leave, he can come to me and can tell me and then I think about it.
"Nobody came so far, so obviously no rush from the players’ side as well.
"Let’s see what happens and all of these things, but in the moment, everybody has the chance to impress me and I hope they do."
Klopp was grateful that most of his players have been given time to refresh amid the packed football schedule but is aware he will have to take care with those involved at Euro 2020 and the Copa America.
He said: "Mo [Salah] had seven weeks, Sadio [Mane] didn’t because he played for Senegal, so I think he had around about five weeks.
"But it is incredibly long – they are used to two-and-a-half weeks in the summer. Which, [and] I said it plenty of times, is not enough.
"But now the guys from the Euros and the guys from the Copa have around about three weeks. They have three weeks, that’s what we can give them and that’s what we will."