Die twee het in 2004 op die stel van The Fantastic Four, waar Warren die regisseur se assistent was, ontmoet en is sedertdien 'n paartjie. Hul dogter Honor is in 2008 gebore.
Alba het gister die nuus op haar Facebook-bladsy gebreek :   "It's been a while since I've been on FB & I thought I'd drop by to let you all in on some exciting news – Honor is going to be a Big Sister! Cash and I are thrilled and wanted to share the news directly with you so you didn't hear about it somewhere else. I appreciated all of the love and support you all gave me during my first pregnancy and will definitely appreciate it again this time around. Have a great day!"-Jess