A 1992, Alba mai shekaru 11 ta shawo kan mahaifiyarta ta kai ta gasar wasan kwaikwayo a Beverly Hills, inda babban kyautar ta kasance darussan wasan kwaikwayo kyauta. Alba ta lashe babban kyauta, kuma ta dauki darussan wasan kwaikwayo na farko. Wani wakili ya sanya hannu kan Alba watanni tara bayan haka. Farkon fitowarta a fim din wani karamin rawar ne a cikin wasan kwaikwayo na 1994 Camp Nowhere kamar Gail. An fara hayar ta ne na makonni biyu amma rawar da ta taka ta zama aikin watanni biyu lokacin da daya daga cikin fitattun 'yan wasan kwaikwayo ya fita. Alba ta bayyana a cikin tallan talabijin na kasa biyu na Nintendo da J. C. Penney a matsayin yaro. Daga baya an nuna ta a fina-finai masu zaman kansu da yawa. Ta fito a talabijin a 1994 tare da rawar da ta sake dawowa a cikin jerin wasan kwaikwayo na wasan kwaikwayo na duniya a Beverly Hills.
Shekarar 1994