(Undated) -- Open enrollment for health insurance under the Affordable Care Act is underway for Rhode Islanders. Senator Jack Reed's office says the period runs until December 23rd. You can enroll online at HealthSourceRI.com, in person at a walk-in center in East Providence, or by phone by calling 1-855-840-HSRI. Reed's office says about thirty-thousand Rhode Island residents currently have coverage through the program.