The move will go through as soon as Juventus announce the deal on the Italian Stock Exchange tomorrow, due to financial regulations of the Italian club, but Bremen's director of sport Klaus Allofs confirmed that an agreement has been reached between the clubs and the player.
Elia will link up with his new team-mates tomorrow night having already passed a medical in the northern Germany city today.
The 25-year-old, who has won 26 caps for Holland, will put pen to paper on a four-year contract with Bremen and he will be presented at the club's training camp in Norderney tomorrow, according to a press release from the northern Germany club.
Elia appeared 47 times for Bremen's local rivals Hamburg between 2009 and 2011 before moving to Juve last summer.
He failed to make the breakthrough with the Serie A champions, though, making just four appearances for them last term and losing his place in the Holland squad as a result.