Webb started his career working as music assistant on the crime thriller Out for Justice (1991, with music editor John LaSalandra), as apprentice music editor on the horror sequel Freddy's Dead: The Final Nightmare (1991), and as assistant music editor on the horror film The Dark Half (1993, with John LaSalandra and orchestrator Jeff Atmajian) and the thriller Dream Lover (1993). He then worked as music editor on the crime drama Street Knight (1993), the television thriller The Disappearance of Christina (1993), the comedy The Big Green (1995, starring Olivia d'Abo), the thriller Diabolique (1996, with John LaSalandra and orchestra contractor Sandy DeCrescent), Wes Craven's horror film Scream (1996), the action adventure Six Days Seven Nights (1998), the pilot episode of The Sopranos (1999