Jessica Simpson is still looking for her pooch Daisy -- who was snatched from her backyard by a coyote Monday -- even though she has a "pretty strong feeling" she won't be found.

A rep for -- which called 1,000 of the singer's neighbors to help find the five-year-old maltipoo earlier this week -- tells they've called off the search. 

"We've actually discontinued the search entirely," the company's spokeswoman, Colleen Busch, tells Us. "We've contacted Jessica and asked them if they want us to put out more Findtoto alerts, and they don't."

Busch says Simpson and her friends are "trying to be positive but they just have a pretty strong feeling she isn't going to be found. We just didn't get any leads."

On Wednesday, Simpson posted that she was "still holding out hope" of finding her pup -- a gift from ex Nick Lachey -- even though celeb dog trainer Jennifer McCarthy told Us "she's probably not alive."

At Us' 25 Stylish Most New Yorkers party Martha Stewart told Us that Simpson "should have watched it more closely...she should have been more careful."

She advised the heartbroken singer to "get another dog."