Luke Ayling is set to miss the start of next season and Stuart Dallas is also facing a lengthy spell on the sidelines due to a fractured femur.
Leeds are actively looking to bring in a right-back in the summer as part of their transfer plans.
A number of players are being looked at inside the recruitment department led by Victor Orta and they are looking at another Salzburg asset
It has been claimed that Leeds are following 24-year-old right-back Kristensen as part of their transfer plans.
The Dane joined the Austrian outfit from Ajax in 2019 and made 44 appearances for the club last season.
Leeds have been impressed with his performances and are considering taking him to Elland Road in the summer.
They have already signed Brenden Aaronson from Salzburg this summer and are potentially looking at raiding the Austrian outfit again.
Kristensen has three years left on his contract and has been an important part of the Salzburg squad.