In an interview with TMZ Sports, Guice said with regard to a White House visit, "If I get the chance, yeah. That's the chance of a lifetime. ... They got a lot of history in that White House."
Guice, who is set to play in the nation's capital in 2018, also suggested he has no issue with President Donald Trump, saying, "I mean he's running this country. What do you want me to do: hate a guy who's running this country? I stay in my lane, he stay in his."
Washington selected Guice with the No. 59 overall pick in the second round of the 2018 NFL draft out of LSU.
Since the likes of Rob Kelley, Chris Thompson and Samaje Perine have yet to establish themselves as every-down backs, Guice has a chance to be the No. 1 guy as a rookie.
He is coming off consecutive seasons with more than 1,200 rushing yards and double-digit rushing touchdowns at LSU.
The Redskins aren't expected to vie for the Super Bowl next season after finishing 7-9 in 2017, but after the NFC East rival Philadelphia Eagles shocked the football world in February by winning the Vince Lombardi Trophy, Washington's chances can't be completely discounted.