The Wizards lost a tiebreaker to the Brooklyn Nets and will send the 18th pick to Phoenix as part of the Marcin Gortat trade.
WIzards clinch fifth seed, open at Chicago on Sunday night.
With the Brooklyn Nets losing on Monday to the New York Knicks, the Wizards have a legitimate chance to claim fifth place in the Eastern Conference with a win in Boston.
The Wizards had a big win against Miami, but the Charlotte Bobcats made sure that the last day of the regular season will still matter.
The Wizards are one game ahead of Charlotte for sixth place but trail Brooklyn by 1½ games for fifth with two games remaining.
Now that they have clinched, the Wizards are chasing Brooklyn and trying to hold off Charlotte in the Eastern Conference playoff race.
On his eighth team in nine years, Livingston's defense has turned the Nets into a playoff contender.
The Wizards guard starts the important game vs. visiting Brooklyn despite a sprained ankle suffered the night before.
The Wizards are in fight with the Brooklyn Nets for the fifth spot in the Eastern Conference. The Nets have had the best record in the East since Jan. 1.
The Bulls, With Saturday's postseason eligibility deadline looming for free agents, teams like Chicago, Brooklyn and Houston could look to remedy their weaknesses.