Former Atalanta ace Kulusevski, who only completed a £31.5million move to Juve in January 2020 before being loaned out to Parma, has struggled to hit the ground running in his first full season at the club.
The Swede has been deployed as both a second striker and a winger under Andrea Pirlo this term, but he only has three goals to show for 26 appearances.
Calciomercato.com says United are one of several teams who have 'knocked on Juve's door' because Solskjaer 'adores the qualities' of Kulusevski.
It is believed the Red Devils boss has even tried to sign him on a previous occasion, perhaps as an alternative to top target Jadon Sancho in the previous summer and autumn transfer window.
However, despite Solskjaer's clear admiration for the 20-year-old, Juve are understood to have no intention of selling him anytime soon.