Playing for Soviet National Junior team in 1988 World Junior Championship Dimitri won a silver medal. In the next 1989 World Championship he got gold. The following 1990 year, Khristich won another gold medal. "Washington Capitals" recognized his potential and selected him in the 1988 NHL Entry Draft. At 1990 Khristich became a member of the NHL and was sent to the farmer club of "Washington Capitals", Baltimore "Skipjacks", for adaptation.