If the general election for President were held today, 43 percent of registered voters said they'd choose vote for presumptive Democratic nominee Joe BidenJoe BidenFormer Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick Bloomberg rolls out M ad buy to boost Biden in Florida MORE, while 39 percent said they would vote for a second President Trump term, a new Hill-HarrisX poll finds.

The four-point lead for the former vice president is down from 10 percentage points in the same poll from June 1-4.  Trump trailed Biden 47-37 in that poll.

Nine percent of registered voters said they were undecided, no change from the last poll.

The Hill-HarrisX poll comes as a number of national polls have shown Biden surging, pushing out to a 10 point lead in the RealClearPolitics average of polls.

A recent New York Times-Siena College poll saw Biden with a 14 percentage point lead.

Five percent of those surveyed in the Hill-HarrisX poll said they would prefer to vote someone else, a 1 percentage point uptick from earlier this month, while 4 percent of voters still said they do not plan to vote in the presidential election.

The poll found that Biden maintains his support among independent voters with 36 percent choosing the former Vice President and 30 percent saying they'd vote for President TrumpDonald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE in the general. 

Party loyalty seems to be intensifying for the President with a 4 percentage point increase of support among Republican voters.

The Hill-HarrisX poll was conducted online among 951 registered voters between June 22-23. It has a margin of error of plus or minus 3.18 percentage points. 

Gabriela Schulte