The House narrowly passed the bill last month, with Maine Rep. Jared Golden being the sole Democrat to vote against the package.
Mr. Manchin is a key swing vote in the Senate who could derail Democrats’ hopes of passing the bill which would expand the U.S. welfare state.
The president argued the bill would help reduce inflation, lower prescription drug costs, offer universal pre-K, and expand the child tax credit.
White House press secretary Jen Psaki said the administration has been in touch “at a staff level” over discussions.
Senate Majority Leader Charles E. Schumer said he wants to see the bill pass by Christmas, but with less than two weeks left in session before the holidays, the timeline seems unlikely.