On August 3, Eric Schmidt stepped down from the Apple Inc. Board of Directors due to conflicts of interest. This Tuesday Apple’s Board of Directors will be meeting to discuss some of the possible replacements of Schmidt.  Schmidt had been an Apple Board member for about 3 years.

Some of the other board members include Intuit Chairman Bill Campbell, Avon Products CEO Andrea Jung, former Vice President of the United States Al Gore, Chrysler finance chief Jerome York, J. Crew CEO Millard Drexler, and Genentech Chairman Arthur Levinson.

It would not surprise me if Apple appoints someone highly involved in the Internet application or cloud computing space considering that Schmidt’s company is one of the best in that sector.