Brazilian midfielder Fabinho, still waiting for his debut after his £44m move from Monaco in May, was part of the squad making the journey south.
Klopp's exclusion of the Brazil worldwide from his plans has raised eyebrows, particularly given the injuries to Alex Oxlade-Chamberlain and defender Dejan Lovren.
"It's absolutely no problem".
"Gary should come over and tell me how that exactly works", Klopp told a press conference.
"Sometimes it takes more time, sometimes a bit less but from my point of view it is all fine but I know the situation is not like a few people would have expected".
Liverpool spent heavily in the summer, bringing in four new faces for almost £180 million, but Tottenham failed to sign a single player.
He is now back in the Spurs squad and could be utilised from the start against Liverpool, although given his hectic schedule in recent times, and the form of Lucas Moura, the Spurs boss could settle for using him from the bench.
"It feels like we have 500 games in the next seven weeks".
Liverpool, who finished as runners-up in the Champions League last season, were forced to settle with a fourth placed finish in the league last season, which they secured during the final weekend of fixtures.
Club great Graeme Souness recently claimed this team is the best he has seen since their last title-winning side of 1990, but Klopp is wary of such praise putting too much pressure on his players. "We have seen that we can do it", Klopp said.
"I think you should go for all competitions", he said.
"Maybe I repeat again but after Manchester United, all the signals from the team were that we were going to crash".
"Then today another one, and we need to be ready".
"Football changed a lot in the last 30 years, shirts got tighter and the game got quicker, so you can't compare the teams, really. Mauricio [Pochettino] has the same issues, we all have to work with what we've got".