But Alba admits she occasionally suffers insecurities about their union and likes her partner to show his commitment by displaying his wedding band at all times.
She tells Access Hollywood, "I know that even if my husband isn't doing anything with someone that he works with, if they are even remotely attractive or have like, a little bit of energy, or if they even have a little like, cute word back and forth, I get really crazy. And I don't make any sense.
"(Warren) jammed his finger and had to get his (wedding) ring cut off. He was trying to show off with his friends and trying to act like he was 18 again and so they all played tag football, and then played basketball after it and he (had to get) his ring cut off.
"He's like, 'Babe - everyone knows I'm married. And I'm like, 'Oh hell no. You're wearing the ring again. None of that foolishness!'"