A Pentagon study released earlier this month found that there would be minimal risk to military effectiveness in enacting a repeal.
Fifty to 55 percent of those surveyed said the repeal wouldn't have any effect, 15 to 20 percent said it would have a positive effect and 30 percent said the effect would be negative. The report also concluded that encounters with gay service members are common.
Obama, Chairman of the Joint Chiefs of Staff Adm. Mike Mullen and Defense Secretary Gates have all called for a repeal of the policy.
Four GOP senators today voted in favor of repeal -- Susan Collins and Olympia Snowe of Maine, Scott Brown of Massachusetts and Lisa Murkowski of Alaska.
The most recent ABC News/Washington Post poll found 77 percent of Americans support allowing gays and lesbians to serve openly in the U.S. military, the largest show of support in the history of the policy.