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.

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.

WENN