The 6-foot-8, 230-pound Cunningham will miss Friday night's game against the Phoenix Suns.
Cunningham, 29, was cited on suspicion of a DUI in Clark County, Wash., in June and pleaded guilty in August.
In five games (two starts) this season, Cunningham is averaging 5.6 points and 3.6 rebounds for the winless Pelicans (0-5). He is in his third season with the Pelicans.
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The Cleveland Cavaliers will visit the White House on Thursday to celebrate last season's championship with United States President Barack Obama.
Obama previously invited the team to celebrate with him at the White House in a phone call with head coach Tyronn Lue last June.
The Cavaliers defeated the Golden State Warriors in a seven-game series after falling into a 3-1 series deficit. (Editing by Andrew Both)
