Spanish publication 'AS' claims that the move could be brought forward to January, with Valverde merely needing to give his assent to the deal.
Since Valverde took the Barca job in the summer, the 23-year-old has been right at the top of his list of targets and a move was eventually agreed that would see the strapping centre-half make the move to the Camp Nou following next summer's World Cup in Russia.
Mina is a powerful and athletic defender who, stading at 6'5" is unlikely to lose too many physical battles.
Barce had been considering invoking their clause that would allow them to bring the deal forward, however the Palmeiras man suffered a broken metatarsal back in August, stopping any imminent move in its tracks, with Valverde keen to see how the Colombian international recovers before making any hard and fast decisions.
Mina is still yet to recover from that injury, but he is thought to be closing in on a first team return. Valverde will be keeping a close eye on the former Santa Fe man and if his return to action passes without any problems, the Barca boss could push through the deal.