A very pregnant JLo and hubby Marc Anthony had a scary night at their Bel Air home Monday, Daily Blabber is reporting.

Some disheveled dude wearing a Star Wars t-shirt and carrying a stack of CDs was seen walking around outside their property.

They called the cops, who questioned a member of the paparazzi who'd seen the guy. The photographer told the cops that the man had peeked inside the mailbox, rung the doorbell and left a package on the couple's doorstep!

No arrest was made.

I doubt the couple got any sleep that night! Their first child (or children) is due next year–some reports say in the spring, but they've been mum on the date so far.