Webber was a member of U.S. Soccer's legendary 1999 World Cup championship team, in addition to being a member of the 1995 World Cup squad and 1996 Olympic team. A member of the USWNT for eight years, Webber was a founding member of the Women's United Soccer Association, playing for the Philadelphia Charge in 2001 and for the New York Power in 2002. Additionally, she played professionally for three years in Japan for Oki FC, where she was named the top goalkeeper of the league.  A four-year starter at Rutgers University, Webber was an All-American, Honda Award finalist and winner of the Missouri Athletic Club Goalkeeper of the Year Award in 1992. She finished her collegiate career with a school-record 34 shutouts, a record that stood for 17 years. Webber was selected by Soccer America to the Team of the 90s, and in 1998, she became the first female soccer player to be inducted into the Rutgers Athletics Hall of Fame.

Saskia was the GK Coach at UCLA.  In her first campaign, she guided first-year starter Lauren Brzykcy to All-America and Pac-12 Goalkeeper of the Year honors.