A statement from the All England Club on Wednesday said the Frenchwoman had decided to withdraw because of a "minor strain".
"She feels this is a precautionary measure and is confident it will not hinder her singles," the statement said.
Fourth seed Mauresmo, who easily won her opening match in the singles on Tuesday against American Jamea Jackson, has been struggling with a thigh injury since the French Open.
She did play at Eastbourne last week, however, reaching the final where she lost to world number one Justine Henin.