The two sides could potentially meet before Thursday's NBA draft as they "look for clarity ahead of the start of free agency on June 30."
Irving will decline his $21.3 million option for next season to hit free agency.
ESPN's Stephen A. Smith also recently discussed the player going to Brooklyn:
The Lakers could be especially intriguing as they try to add another star alongside LeBron James and Anthony Davis.
However, the Celtics likely only want to know whether he plans on staying or going. The upcoming meeting might not be able to convince him to remain in Boston after a disappointing year, but it could at least provide some indication about where he is leaning.
If Irving is definitely gone, the organization can change its approach going into the draft and free agency, knowing what it will need on the roster as well as how much it will have to spend. It could also affect players like Terry Rozier and Al Horford as they try to secure their futures with or without the team.