Nine judges will decide whether the court should accept Microsoft's request for a review.
Antitrust specialist Jim Kobak, an attorney with New York-based law firm Hughes, Hubbard & Reed LLC, said: "If there's disagreement it might take them a few weeks to decide, but usually they decide pretty promptly."
Ruling If the judges vote on Friday, the results of the vote could be announced as early as Monday. Information regarding activity in Supreme Court cases is published each Monday after the court meets.
The software maker first took its case to the Supreme Court on August 7. It asked the panel of judges to overturn a June 28 ruling by an appeals court that upheld a lower court ruling that the software maker violated antitrust law with its monopoly in the desktop-operating-systems market.
Microsoft has argued that District Court Judge Thomas Penfield Jackson, who first ruled against the company last year, should have been pulled from the case due to comments he made to reporters before delivering his ruling.
In its June ruling, the US Appeals Court for the District of Columbia scolded Jackson for violating a judicial code of conduct when speaking to reporters from the New York Times and The New Yorker magazine about the case. In the same ruling, however, the Appeals Court upheld most of the lower court's finding that Microsoft used its monopoly power illegally to quash competitors.