Jessica Alba will name her baby daughter Honor, according to new U.S. reports.

The actress has yet to go public with the name and sex of her first child but friends have already started talking.

America’s Star magazine reports one pal couldn’t keep quiet while shopping for baby shower gift at a Los Angeles boutique.

A source says, "This woman was so exited that Jessica is having a girl." And another family friend picked out a charm bracelet for the unborn tot that spelled out ‘Honor.’

Alba’s manager Chris Henze’s wife will be throwing the baby shower party at a private home in Los Angeles this weekend.