The tabloid newspaper The Sun in Britain reports that the singer, who already has four children, has consulted doctors about conceiving another child at the age of 51.
Madonna has a 13 year old daughter named fathered by Carlos Leon, and a son Rocco, aged 9, fathered by ex-husband Guy Ritchie. She also has two adopted Malawian children, David Banda and Mercy James, both four.
Pop icon Madonna, 51, and her lover, Jesus Luz, 22.
A source told the paper that at 51 it's going to be harder to conceive naturally. "But she is Olympic-athlete fit and is ready for the challenge," the source said.
The singer has been with Jesus, who is 29 years younger than her, for more than two years. She met him during a photo shoot in Brazil shortly after she divorced Guy Ritchie.
"Jesus adores her kids but has always wanted a child of his own. He told Madonna that fatherhood would be his greatest adventure, and that he wanted to go on this journey with her," the source said.