The 20-year-old has been an important player for his Austrian club during the 2022-23 campaign, featuring on 25 occasions in all competitions, contributing four assists in the process.
A recent report claimed that Liverpool were interested in signing the midfielder this summer, while Newcastle United were also keeping a close eye on his development.
According to Salzburger Nachrichten, Salzburg would be willing to let the youngster leave for a fee in the region of €20m (£17.6m) during the summer market.
Sucic has featured on 96 occasions for Salzburg in all competitions, contributing 13 goals and 10 assists in the process.
However, the midfielder is currently on the sidelines following knee surgery, and he is facing "several months" out of action.
"The injury sustained by Luka Sucic in the last Austrian Bundesliga match v Rapid Vienna has created some lasting consequences, unfortunately," read a statement from Salzburg last month.
"A detailed examination has shown that the 20-year-old Croatian international requires an operation on his left knee and will not be available for our Red Bulls for several months."
Sucic has also been capped on four occasions by Croatia; he was a part of his national team's squad at the 2022 World Cup but failed to make an appearance at the competition.
Liverpool are expected to overhaul their midfield at the end of the season, with a number of players set to arrive and depart in that area of the field.
Naby Keita and Alex Oxlade-Chamberlain are both set to leave on free transfers, while Arthur is expected to return to parent club Juventus after failing to make his mark at Anfield.
James Milner also only has a deal with Jurgen Klopp's side until the end of June, but there have been claims that he could sign a new contract with the Merseyside giants.
Borussia Dortmund's Jude Bellingham remains Liverpool's leading midfield target, but a deal for the England international would cost upwards of £100m, while a lack of Champions League football for the 2023-24 campaign could make it difficult for the club to sign him.
Klopp's team, who host Premier League leaders Arsenal on Sunday, are currently eighth in the table, 10 points behind fourth-placed Manchester United.