De Zerbi has wasted no time in the summer transfer market with defence a key focus for the Italian coach after landing a double free transfer swoop for veterans Andrew Robertson and Marcos Senesi.
Dutch international Jan Paul van Hecke has also arrived in North London as part of £52m deal from Brighton and the Seagulls are aiming to utilise that agreement as leverage to sign Vuskovic.
Tottenham agreed a deal to sign the Croatia international from Hadjuk Split back in September 2023 under former boss Ange Postecoglou with an arrival date set for last summer.
However, following preseason training with the first team, Thomas Frank opted to loan him out to Hamburg, where he played a key role and secured a starting spot for Croatia at the World Cup.
De Zerbi is yet to make a decision on fellow central defenders Cristian Romero and Micky van de Ven, amid major links to Atletico Madrid and Liverpool respectively, but a call on Vuskovic looks set.
As per Mail Sport, Brighton have already seen one offer rejected, but a fresh transfer package of £45m plus add-ons could tempt Spurs to wrap up an agreement and release more spending power for De Zerbi.