President Biden intends to release a new framework on the Democrats’ $1.75 trillion social-spending and climate package Thursday aimed at winning support of congressional Democrats, people familiar with the plans said.

Mr. Biden will address House Democrats to provide an update on the spending package and a parallel bipartisan infrastructure bill that passed the Senate but has been held up by progressives in the House. Mr. Biden will then deliver remarks from the White House, and one of the people familiar with the matter said he would provide a path forward on his economic agenda before departing for Italy.

Mr. Biden is expected to tell Democrats that he trusts Sens. Joe Manchin (D., W.Va.) and Kyrsten Sinema (D., Ariz.), two pivotal centrists in the talks, according to a person familiar with the plans. He is also expected to ask the House Democrats to vote later Thursday for a separate infrastructure package that progressives have balked at supporting until they can secure passage of the social welfare and climate bill, the person said.