The Senate is likely to revisit the new healthcare measure that became law earlier this year, a member of the chamber's Health committee said Tuesday.

Sen. Michael BennetMichael BennetOvernight Finance: Scoop – Trump team eyes dramatic spending cuts | Treasury pick survives stormy hearing Mnuchin: Debt limit increase important, unclear on 'clean' hike Live coverage: Senators grill Trump's Treasury pick MORE (D-Colo.), a member of the Health, Education, Labor and Pensions (HELP) Committee, said he thought the majority Democrats would look at making changes to the bill President Obama signed into law in March.

"I think we will," Bennet said in an interview on NPR. "I think we didn't do enough the first time around on cost containment — there's more to be done there, on the Medicare incentive structure."

The Colorado senator won a tough reelection race last week in which he was targeted for his support of healthcare reform and other parts of the president's agenda. Like many of the Democrats who escaped defeat last Tuesday — like Senate Majority Leader Harry ReidHarry ReidFranken emerges as liberal force in hearings GOP eyes new push to break up California court The DC bubble is strangling the DNC MORE (Nev.) and Sen.-elect Joe ManchinJoe ManchinOvernight Cybersecurity: Dems split on Manning decision | Assange looking to make deal What we learned from Rick Perry's confirmation hearing Manning commutation sparks Democratic criticism MORE (W.Va.) — Bennet called for revisiting a bill that weighed heavily on many of his party's candidates at the polls.

Bennet proposed an amendment he'd previously submitted that would require lawmakers to find other sources of revenue for the new health system if some of the savings in the legislation don't pan out as projected.

Democrats should also look for compromise on taxes and entitlement reform, Bennet said.

He proposed a one-year extension of all tax cuts, embracing a Republican proposal in part, and called for a "conversation" on Social Security, with a possible allusion to benefit cuts liberals have typically resisted.

"People that are my age, 45, know that if the system exists as it is today, there's not going to be anything left for us," he said. "I think it's a conversation that we can have with the American people. It's certainly a conversation I've had in town halls all over Colorado."