A majority of troops and their families would be OK if the Pentagon did away with “Don't Ask, Don't Tell,” the policy that bans gay and bisexual service members from serving openly.

According to details leaked to NBC News, the Defense Department's own internal survey will show that most troops are not concerned about serving and living alongside openly gay troops.

The survey's results are expected to be included in a Pentagon report on ending the policy. The full report is due to President Obama on December 1.

Some service members objected to a change in the policy, insisting they would quit the military if gay troops were allowed to serve openly.

The survey, which rolled out in July, angered leading groups lobbying for repeal. Pointing to the survey's use of the outmoded and derogatory word “homosexual” to describe gay men and lesbians, and its overwhelming focus on the potential drawbacks of repeal, they called the survey biased against gay troops.

Pentagon officials were forced to set the policy aside for 8 days this month after a federal judge in California issued an injunction against its enforcement. The Obama administration appealed the ruling and the policy was allowed to return. In reinstating “Don't Ask,” Defense Secretary Robert Gates stiffened its requirements, allowing only secretaries of the armed forces the authority to separate a service member under the law.

President Barack Obama has said he agrees that the law should be repealed but is pursuing an appeal because he's looking for a “durable” solution from Congress. In an interview with the gay media, the president rejected claims that he was trying to have it both ways.

Repeal advocates remain hopeful that the Senate will act against the law during the lame-duck session after the November midterm elections. Arizona Senator John McCain has already promised to work against a second effort.