A boyhood Red and lifelong supporter of the club, Elliott has found regular first-team football difficult to come by this season under new manager Arne Slot.
After suffering a broken foot at the beginning of the campaign, he only returned to the squad at the end of November.
Despite his emotional ties to the club, his limited opportunities since returning have led to growing uncertainty about his long-term role at Liverpool.
Wolverhampton Wanderers are said to be among the clubs monitoring Elliott's situation. Wolves, who are also battling to retain key players, view the versatile midfielder as a potential addition should they lose others in the summer.
Wolves are preparing for a significant window themselves, anticipating the sale of forward Matheus Cunha for around 62.5 million pounds.
However, they are keen to avoid a major squad overhaul and are actively working to keep hold of Algerian international Rayan Ait-Nouri, offering him a new contract to ward off interest - including that from Liverpool.
The Midlands club appear to be planning carefully to strengthen their squad while maintaining stability.
Elliott's technical ability and potential make him a prime target, but Liverpool's firm valuation and his personal connection to the club could complicate any deal.