The body of a woman, thought to be a missing teacher, has been found in Tye Lane, Walberton.
Although the body has yet to be officially identified it is believed to be Sandra Hall, 56, who went missing from her Bognor home four weeks ago.
Insp Nick Bowman said: "News of the discovery is terribly sad. We were out renewing our appeals when we received a call from a member of the public at about 10am. He had been out walking when he found the body of a woman in a wooded copse in Walberton.
"We believe the body is Sandra's and we have informed her family. We are not treating her death as suspicious.
"Our thoughts are with her family who, like us, had held out hope that she would be found safe and well.
"Sandra, who suffers from depression, went missing from her home on 3 February. I want to thank the public and the search teams for their compassion and support during our appeals and extensive searches over the last four weeks."