According to Sky, Barça are pushing under pressure to get a deal for the German under-16 international over the line, with negotiations between the two clubs ongoing. Baza, who is the cousin of Bayern Munich's Jonathan Tah, has only a year left on his contract at Hamburg and is said to be very open to the move.
The plan, according to reporting on the negotiations, is for Baza to be developed through Barcelona's under-19 and Barça Atlètic sides before being gradually integrated into the first team over time.
The teenager has spent two years in Hamburg's youth academy and already features regularly in the Regionalliga Nord for the club's reserve side, a level of exposure at his age that has helped fuel Barcelona's interest.
His left foot is regarded as his standout attribute, the exact profile Barcelona have been searching for at senior level this summer, even if he is not yet considered ready to fill that specific gap.
His family connection to Tah has added extra attention to the pursuit beyond his own footballing profile, though the two are pursuing very different paths: Baza remains years away from senior football, while Barcelona's more pressing need is a left-footed centre-back capable of contributing immediately.
Whether Barcelona's interest in the teenager converts into an agreement before the transfer window closes remains to be seen, with talks between the two clubs still ongoing as things stand.
Hamburg, for their part, would be losing one of the more promising young defenders to emerge from their academy in recent years, with only twelve months left to run on his contract giving the club limited leverage in any negotiation.