Haaland is top of many clubs' transfer wishlists for the end of the season after continuing to thrive at Borussia Dortmund, scoring his 29th goal in 28 games this season with a brace against Bayern Munich on Saturday.
Chelsea and Manchester United are understood to be interested, while Real Madrid, Barcelona and Paris Saint-Germain continue to be linked.
But Liverpool are unlikely to stand a chance with Haaland prioritising Champions League football when picking his next destination, says Reds legend John Arne Riise.
A remarkable six home losses on the trot has seen Liverpool drop from top spot to eighth, with that current form breaking records for all the wrong reasons. They are seven points off the pace with 10 games to play.
And Riise expects such a slump to have a lasting impact for years to come should they miss out on Haaland to a rival.
"[Haaland] is going to be a top player for the next 10-15 years. Maybe he is one of the players Liverpool should have a look at," Riise told TeamTalk.
"I have been watching him for a few years and there was always talk about this kid coming through that could be really good, but I never believed he would be this good this quickly. He’s a raw talent, he’s powerful, quick, he can score with both feet and his head.
"He scares defenders with his pace and power and the main thing for me is he is hungry. He is hungry for more and more. His confidence is so high.
"Obviously, I would love Liverpool to sign Haaland, but he needs to be in the Champions League. He needs to be up against the best players and fighting for titles.
"It would be crazy if Haaland went to Liverpool. They would have an incredible front three or four, but I don’t know if it can happen.
“I think Haaland is going to move at the end of this season because he wants to be at a club that fights for titles and especially the big one, the Champions League. Any team wanting to challenge for titles, if they get Haaland they will have a much bigger chance. He is that good.”