Detective Inspector Tim Dooley said police will allege Ms Eaton was killed on Saturday, February 1 at a house at Sage Court at Bridgewater.

Police searched a property at Pelham in the Derwent Valley today, where it is alleged a body has been found in a shallow grave.

The accused will appear in an out-of-hours session of the Hobart Magistrates Court later tonight.

Police have also charged Gavin Daniel Hornberg, 37, of no fixed address, with being an accessory after the fact to murder and failing to report a killing.

Mr Hornberg did enter a plea and was remanded in custody until next week.

EARLIER: Police have charged a Bridgewater man with being an accessory after the fact to the murder of missing woman Jodi Michele Eaton.

Jonathon Paul Pearce, 36, is also charged with failing to report the discovery of a killing.

The charge sheet alleges that 28-year-old Ms Eaton was killed at the home in Sage Court, Bridgewater, where she was last seen on the morning of February 1.

The mother of two was last seen alive at 2.30am that day.

Her family made an urgent plea for information last week, saying holding our hope that she was alive was "getting harder and harder each day."

Mr Pearce appeared before Magistrate Chris Webster in the Hobart Magistrates Court this morning.

He did not enter a plea and was bailed to appear on May 7.

Another person is reportedly in custody in connection to the alleged murder.

Police were unable to confirm that Ms Eaton's body has been found.

The ABC reports that police have located a shallow grave.