By ESPNSTAR.com staff
Allen's agent, James Tanner, confirmed the news to the Associated Press while the player himself cannot officially sign until Wednesday because of the league's moratorium.
Allen's decision comes as he looks to add another NBA title to his impressive resume in the twilight of his career.
The Associated Press reports that Allen, who turns 37-years old later this month, told the Heat on Friday night that he intends to accept their contract offer which is almost half of what Boston were willing to pay.
It claimed that the Heat could only offer Allen the mini mid-level, worth about $3 million for next season but the chance to win a second NBA Championship appears to have persuaded him to head to Miami for less money and to quit Boston after five seasons.
The newly crowned champions Heat eliminated the Celtics in seven games in the Eastern Conference Finals last season.