The 19-year-old has attracted plenty of attention after scoring 10 goals in the Eredivisie this season.
There have been reports that several Premier League clubs are keeping an eye on the forward, with Manchester City scout Sebastian Arnesen confirming their interest in November.
And Klopp has told Danish publication Ekstra Bladet of his admiration for Dolberg.
"Who doesn't know Kasper Dolberg? You can't play at Ajax without being noticed," he said. "Kasper Dolberg has a very great future. He is a fantastic player.
"I love Danish players. I had Leon Andreasen at Mainz, he was a monster.