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The 25-year-old defender is in the final year of his contract with Palace, who has slapped a $53 million (£40 million) price tag on him.
It was reported last month that Liverpool was leading the race for Guehi, but attention has since shifted to the attack, in particular Newcastle striker Alexander Isak.
It's also noted that the England international is content at Palace and would be open to running down the last 12 months of his contract before moving to another club on a free transfer post-World Cup.
This could work in Liverpool's favour, especially as center-back Ibrahima Konate's contract also expires in June 2026 amidst rumors of a move to Real Madrid.
Newcastle isn't the only club who has previously attempted to sign Guehi.
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In a candid chat with Austrian publication Kronen Zeitung, the Palace boss expressed frustration over their limited dealings, having only secured a left-back and a backup goalkeeper on a free transfer
"Even though all the players are still here, we haven't made the most of the transfer window so far," Glasner revealed..
"I was promised that we would be more active and bring in the new players earlier this year
If that happens and we get four new ones on deadline day like last year, another false start is possible."
Liverpool's need for defensive additions was evident in the friendly double-header against Athletic Club earlier this week.
Joe Gomez is already sidelined, with Virgil van Dijk also missing the games through illness
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