The public viewing will precede Saturday funeral services at the Basilica of the National Shrine of the Immaculate Conception, located in the capital, sources close to the Scalia family told NPR.
The Supreme Court said Tuesday it would drape Scalia's chair and bench with a black wool crepe -- per a tradition dating back to 1873 -- and the flag outside the court will be flown at half-staff for 30 days.
The last justice to lie in repose at the Supreme Court was Chief Justice William Rehnquist in 2005.
Scalia, one of the most influential conservative jurists of his time, died Saturday of heart failure during a hunting trip at the Cibolo Creek Ranch in Texas. He was 79.