http://www.cbafaq.com/salarycap.htm#Q2525. What are salary cap exceptions?
The basic rule of the NBA's salary cap is that a team can't sign a player or make a trade that leaves the team's team salary above the cap, unless the team is using an exception. In a system with a soft cap, exceptions are the mechanisms that allow teams to function while above the cap. Some exceptions are available only for making trades, and are described in detail starting in question number 82. The exceptions available for signing players are as follows1:
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DISABLED PLAYER EXCEPTION -- This exception allows a team which is over the cap to replace a disabled player who will be out for the remainder of that season (it can also be granted in the event of a player's death). This exception is granted by the league, based on an application from the team and a determination by an NBA-designated physician that the player is substantially more likely than not to be unable to play through the following June 15.
If this exception is granted, the team can acquire one player via free agent signing, trade or waiver claim, to replace the disabled player:
The team may sign a free agent for one season only, for 50% of the disabled player's salary or the amount of the Non-Taxpayer Mid-Level exception, whichever is less.
The team may trade for a player in the last season of his contract only (including any option years)4, who is making no more than 50% plus $100,000 of the disabled player's salary, or the amount of the Non-Taxpayer Mid-Level exception plus $100,000, whichever is less.
The team may claim a player on waivers who is in the last season of his contract only (including any option years), who is making no more than 50% of the disabled player's salary, or the amount of the Non-Taxpayer Mid-Level exception, whichever is less.
Teams can apply for this exception from July 1 through January 15, and cannot apply after January 15. Once granted, the exception expires when a player is acquired, when the disabled player is traded or returns to the team, or on March 10 of that season, whichever comes first. This exception is granted on a season-by-season basis -- if the player will also be out the following season, the team needs to apply for this exception again the following season.
This exception can only be granted to the team for which the player was playing when his injury or illness was known, or reasonably should have become known. A team cannot trade for an injured player and subsequently apply for a Disabled Player exception for that player.
If a team's application for a disabled player exception is denied, the team must wait 90 days before submitting another request related to the same player, and then only for a new injury or aggravation of the same injury. Whether the application was approved or denied, the team can apply again (including for the same injury) the following season.
If the disabled player comes back sooner than expected he may be activated immediately, and the replacement player is not affected.
Don't confuse the Disabled Player exception with the salary cap relief teams sometimes receive after losing a player to a career-ending injury or death (see question number 63). The Disabled Player exception allows a team to acquire a replacement player. The salary cap relief removes a contract from the team's books.
Also see question number 26 for more information on the availability and use of this exception.
The key is that those exceptions are "mechanisms that allow teams to function while above the cap". They are entirely concerning the cap, not the number of players you can have on the roster. They are not designed to give you extra roster spots. Here's the part about roster spots:
http://www.cbafaq.com/salarycap.htm#Q79The only way to get extra spot due to injuries is if you have 4 injured/sick players for more than 3 games at the same time.