The Saudi Pro League side are planning an audacious swoop to sign the Egyptian forward.
It has been reported that Al-Ittihad are prepared to offer more than £120million for the 31-year-old.
But Reds boss Klopp said on Friday: “The position remains the same. Absolutely no doubt about that. No offer as far as I know.”
The German previously insisted that Salah “is a Liverpool player” and that if an offer came in, “the answer would be no.”
The transfer window stays open in Saudi Arabia a week longer than in the UK.
Liverpool are set to clinch the signing of Ryan Gravenberch on Deadline Day, having struck a £34.3m agreement with Bayern Munich on Thursday night.
The Dutch international has travelled to Merseyside on Friday to sign a long-term contract and undergo a medical as the final member of a difficult summer midfield rebuild.
However, Klopp is not expecting any other incomings before the window shuts at 11pm BST, despite being short on centre-backs at the moment with captain Virgil van Dijk suspended and Ibrahima Konate struggling with injury.
“It's deadline day so I don't want to kill the excitement of the people so you never know," he told reporters before Sunday’s Premier League visit of Aston Villa to Anfield.
"But I'm busy today with other things. If we could bring in a centre-half for a weekend I'd think about it."
Quizzed about Gravenberch’s medical, a coy Klopp responded simply: “We cannot talk about that because nothing has really happened yet.”