While President Trump has claimed Democrats in the Senate are blocking his nominees, it seems many Republicans are concerned about what working for his administration would reflect on them in the future.

The report came from the Washington Post, which interviewed 27 people.

The Post suggests many Republicans are asking head-hunters if working with President Trump could eventually affect their reputations.

RELATED: GOP hopefuls rumored to run in 2020

5 PHOTOS GOP hopefuls rumored to run in 2020 See Gallery GOP hopefuls rumored to run in 2020 Former Republican U.S. presidential candidate Senator Ted Cruz speaks to delegates from Texas at a breakfast during the Republican National Convention in Cleveland, Ohio, U.S. July 21, 2016. REUTERS/Aaron Josefczyk Senator Joni Ernst (R-IA) practices her appearance at the Republican National Convention in Cleveland, Ohio, U.S. July 18, 2016. REUTERS/Mark Kauzlarich Senator Tom Cotton (R-AR) discusses the Military Construction and Veterans Affairs and Related Agencies Appropriations Act, 2016 on Capitol Hill in Washington October 1, 2015. REUTERS/Gary Cameron Republican U.S. presidential nominee Donald Trump hugs running mate Governor Mike Pence (R) at the conclusion of the final session of the Republican National Convention in Cleveland, Ohio, U.S. July 21, 2016. REUTERS/Jonathan Ernst Republican U.S. presidential candidate Marco Rubio announces the suspension of his presidential campaign during a rally in Miami, Florida March 15, 2016. REUTERS/Carlo Allegri Up Next See Gallery Discover More Like This HIDE CAPTION SHOW CAPTION of SEE ALL BACK TO SLIDE

The White House has had issues filling top government positions amid high-profile issues in the past months, from possible ties between Russia and the Trump campaign to Trump firing FBI Director James Comey.

Katie Walsh left her deputy chief of staff role in March, and former White House communications director Mike Dubke resigned in May.

Still, White House press secretary Sean Spicer disagreed with the report, saying people do want to work with Trump

"I have people knocking down my door to talk to the presidential personnel office," he told the Post. "There is a huge demand to join this administration."

More from :

Ivanka Trump joins President to talk about apprenticeships

Lindsey Graham warns Trump not to 'betray democracy'

WATCH: President Trump signs executive order, announces apprenticeships initiative