According to reports in England, the left-back will link up with his former Manchester United teammate at the Major League Soccer (MLS) club.
The Red Devils are set for a clear out following yet another disappointing campaign, and Young is reportedly among those set to leave Old Trafford despite signing a new one-year extension in February.
Manchester Evening News claim that Young could link up with Rooney in Washington.
Rooney joined DC United from Everton last year, having left United the season prior following 13 successful years at the club.
Sterling talks up MLS
Young has scored 18 goals in 243 appearances for United.