The Devils drafted Zacha, a center, with the No. 6 pick in this year's NHL Draft.
"We've been involved in negotiations since the draft and trying to get a deal done," Zacha's agent, Patrik Stefan, said. "There is optimism right now and, hopefully, we can get something done and Pavel can be at (training) camp and, hopefully, have chance to play for the New Jersey Devils next year."
If Zacha does not agree to a deal with the Devils before the deadline, he will not be eligible to play in the NHL until the 2015-16 season.
Zacha, 18, had 16 goals and 18 assists in 37 games this season for the Ontario Hockey League's Sarnia.