The White House is working on its own healthcare legislation that it may unveil after President Obama's address to Congress next week, reports indicate.

Sources tell CNN that White House aides are drafting a bill after letting Congress work on its own for months. The so-called "trigger option"--which would allow for a public plan only if private plans fail to deliver--is "very much on the table" in administration discussions.

That tweak is partially aimed at gaining the support of Sen. Olympia Snowe (R-Maine), who's been more open to reform than other Republicans but still has concerns about a public option.