With Udonis Haslem possibly out for the rest of the season, the Heat signed Dampier to a veteran-minimum contract on Tuesday.
The Heat waived the non-guaranteed contract of Jerry Stackhouse in order to make room on the roster for Dampier.
The Heat is off to a disappointing 8-6 start. A lack of size in Miami's frontcourt has so far proven to be one of the team's most glaring weaknesses.