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 BidenBiden says Beau's assessment of first 100 days would be 'Be who you are' Biden: McCarthy's support of Cheney ouster is 'above my pay grade' Conservative group sues over prioritization of women, minorities for restaurant aid 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 TrumpWarren says Republican party 'eating itself and it is discovering that the meal is poisonous' More than 75 Asian, LGBTQ groups oppose anti-Asian crime bill McConnell says he's 'great admirer' of Liz Cheney but mum on her removal 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