Washington (CNN) - Joint Chiefs of Staff Chairman Adm. Mike Mullen will meet with other members of the Joint Chiefs Monday to discuss President Barack's Obama's plan to repeal the military's "Don't Ask, Don't Tell" policy for gay and lesbian service members, according to two U.S. military officials.
The closed door meeting is considered exceptionally sensitive, the sources say, because the chiefs - each of whom heads a military service - are said to be concerned that changing the law would be too disruptive on military forces.
The policy, which has been in effect since 1993, prohibits openly gay men and women from serving in the U.S. armed forces. The policy bans military recruiters or authorities from asking about an individual's sexual orientation, but also prohibits a service member from revealing that he or she is gay.
Obama announced his intention to repeal the policy during last week's State of the Union address.
"This year, I will work with Congress and our military to finally repeal the law that denies gay Americans the right to serve the country they love because of who they are," he said.