The 45-year-old was last seen next to the River Wyre in St Michael’s on Wyre, Lancashire, one week ago.
A major search for Ms Bulley continues, but no trace of her has been found.
Lancashire Police said their “main working hypothesis” was that she fell into the River Wyre and that this was “not suspicious but a tragic case of a missing person”.
Supt Sally Riley said the last confirmed sighting of Ms Bulley took place at 09:10 GMT on 27 January where she was seen on Upper Field walking her dog.
Officers were alerted to her disappearance when her spaniel, Willow, was found running loose off Garstang Road about 25 minutes after she was last seen by another dog walker.
Detectives believe Ms Bulley vanished in a 10-minute window.
