Trump predicts new health care law after 2020

President TrumpDonald John TrumpJimmy Carter: 'I hope there's an age limit' on presidency White House fires DHS general counsel: report Trump to cap California trip with visit to the border MORE on Monday put forward a timeline for a new health care plan to replace ObamaCare, indicating legislation would be brought up for a vote after the election in 2020.

"Vote will be taken right after the Election when Republicans hold the Senate & win back the House," he tweeted.

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"It will be truly great HealthCare that will work for America," he promised. "Also, Republicans will always support Pre-Existing Conditions. The Republican Party will be known as the Party of Great HealtCare. Meantime, the USA is doing better than ever & is respected again!"

The Trump administration last week began a new push to invalidate former President Obama's signature health care law when the Justice Department argued in a new court filing that the entire law should be ruled unconstitutional.

White House aides have indicated that the administration is working on replacement legislation to submit to Congress sometime this year.