Cucurella has been strongly linked with a move to Premier League champions Manchester City, with Pep Guardiola understood to have identified the 23-year-old as one of his primary targets.
Brighton are keen to keep hold of Cucurella, who was signed by the Seagulls from Getafe for around £15.4m last summer, but the Spaniard could be tempted by a move to the Etihad Stadium after revealing last month that he would find it difficult to turn down a switch to the Citizens.
According to the Daily Star, Brighton have identified Sanusi, who is represented by super-agent Jorge Mendes, as their preferred left-back target should they need to replace Cucurella this summer.
The report adds, however, that they could face competition from Crystal Palace for the 10-cap Nigeria international, who will allegedly only consider leaving Porto if he is guaranteed regular first-team football.
Sanusi, 25, scored three goals in 40 appearances for the Portuguese giants across all competitions in the 2021-22 campaign, and he has three years remaining on his contract.