Michelle teamed up with "Saturday Night Live" comedian Jay Pharaoh and College Humor back in December last year to promote a rap video urging kids to go to college, reported TMZ.
The lyrics struck a chord with rapper Common, who is from the city's South Side.
When asked by if he'd seen the First Lady rapping, he laughed, "I really loved that, man. I love her. She said something about the South Side... It was good, man. You can tell she was passionate.
Common, 43, who won an Oscar last year with John Legend for their song "Glory" from the movie "Selma", said he would be more than happy to work on music with the First Lady and her husband, President Barack Obama.
"For the President and the First Lady, I'd do anything. I'd do some music with them for sure," he said.