Laura Bush speaks by phone to Suu Kyi
her daughter, Barbara, made to a refugee camp in Thailand for political refugees from Myanmar.
"She was very forthcoming but we both assumed the call was bugged. She was circumspect and so was I," Bush said.
Suu Kyi`s release last month came a week after Myanmar`s first election in 20 years, which was widely seen as a sham. The 1990 election was won in a landslide by Suu Kyi`s National League for Democracy party, but the military refused to hand over power and instead clamped down on its opponents.
Bush said that it appears that the government is allowing Suu Kyi to conduct the meetings and phone calls she wants.
"I hope I`ll have the chance to speak with her again," Bush said. "I hope that someday we`ll have the chance to meet face to face."
The former first lady said she also told Suu Kyi about an effort by the George W Bush Presidential Centre to be a repository for the papers and oral histories of political dissidents struggling to spread democracy.
Bush said Suu Kyi was receptive to the idea of one day being interviewed for the project.
The centre, which will be made up of a presidential library, museum and policy institute, is set to open in February 2013 on the campus of Southern Methodist University in Dallas, the city George and Laura Bush moved to after he left office in 2009.