Paul entered the protocol Wednesday, and he is without a timetable for return.
The Suns acquired Paul to help take a young roster to the next level, and he did just that as Phoenix finished second in the Western Conference at 51-21.
The 36-year-old led the team in assists (8.9 per game) while averaging 16.4 points. He also shot 39.5 percent from beyond the arc, the fourth-best rate of his career.
Without Paul for Game 1, the Suns will lean heavily on Cameron Payne to serve as a steadying force in the backcourt.
In the Suns' four-game sweep of the Denver Nuggets, Payne averaged 6.8 points and 2.3 assists per game. The series prior, when Paul was hampered by a shoulder injury, Payne contributed 12.5 points and 3.3 dimes a night.