The Reds defence came under fire for conceding three goals against Watford at the weekend, leading to calls for Southampton’s Virgil van Dijk to be brought in as soon as possible.
However Klopp says he is still hoping to strengthen all areas of his squad, not just defence, ahead of the transfer window closing at the end of the month, as he realises more bodies are needed.
“We are still working on all parts,” Klopp said. “We are in talks and we work on all parts of the game. The squad at the moment is not too wide for a lot of games. That’s it.”
Much will also depend on the future of Philippe Coutinho, who continues to push for a move to Barcelona, and Klopp will be hoping he does not have to draft in a replacement for the Brazilian.
As well as Van Dijk, RB Leipzig midfielder Naby Keita also remains high on Klopp’s radar despite the fact the Bundesliga side are so far unwilling to cash in.