According to Life & Style, the 31-year-old singer has "consulted with doctors" about in vitro fertilization after years of struggling to conceive.
"LeAnn's been begging Eddie [Cibrian] to let her begin IVF, but he doesn't want more kids," a source told the publication.
Rimes and Cribrian are already parents to the actor's two children with reality star Brandi Glanville, Mason and Jake. However, the singer has reportedly been pushing for the couple to have kids of their own for a while.
"He has been clear with her," an insider said of Cibrian's disinterest in having more children. "But she just doesn't listen."
Rimes and Cibrian will touch on the rumors about whether or not they're considering to expand their family when the pair's VH1 reality show, LeAnn & Eddie premieres Thursday July 17.
2014: The Year in Music [PHOTOS]