An influential Democratic senator is now backing the push to restore insurance plans canceled due to ObamaCare, on the heels of a blunt critique from Bill Clinton on President Obama's handling of the health care law's rocky rollout. 

Sen. Dianne Feinstein, D-Calif., said Tuesday she is cosponsoring a bill by Sen. Mary Landrieu, D-La., that would force insurance companies to reinstate canceled policies that Obama repeatedly vowed that people could keep.

"The Affordable Care Act is a good law, but it is not perfect," Feinstein said in a statement. "I believe the Landrieu bill is a commonsense fix that will protect individuals in the private insurance market from being forced to change their insurance plan."