The issue is currently being debated in parliament, where 25 percent of the seats are set aside for the military, which held Suu Kyi in some form of detainment for the better part of two decades.
It is widely believed that the law was written specifically with Suu Kyi in mind. She remains wildly popular, and her party, which swept a 1990 vote that was ignored by the military, is expected to do well in next year's elections.
Washington has pressed for more change in Myanmar, where political and economic reforms launched two years ago seem to have stalled. Obama is heavily invested in Myanmar's progress, having made a historic trip there two years ago to signal a strong U.S. commitment to democratization in the country and the broader region.
The United States has said it is willing to let the transition take shape and has avoided specific demands. Nevertheless, Obama told President Thein Sein that the next election, slated for 2015, needs to be fair, inclusive and transparent.
“Our reform process is going through a bumpy patch,” Suu Kyi said. “But this bumpy patch is something we can negotiate with commitment and the help and understanding of our friends around the world.”
“When Burma becomes a fully functioning democracy in accordance with the will of the people, we will be able to say that among those friends who enabled us to get there, the United States was among the first,” she said, using the old name for Myanmar.