Webb began her professional golfing career in 1994 playing on the Ladies European Tour where she finished second at the Women's Australian Open and the Futures Tour in the U.S., where she won one tournament. In 1995 she became the youngest ever winner of the Weetabix Women's British Open in her rookie season in Europe, prior to it being classed as an LPGA major, and was European Rookie of the Year. She qualified for the LPGA Tour after she finished second at the LPGA Final Qualifying Tournament despite playing with a broken bone in her wrist.