Joseph Edwards, 25, was last seen walking along Victoria Road at around 11am on Sunday 22 September.
Extensive inquiries to locate him are ongoing, and officers are liaising with colleagues from Greater Manchester Police as Mr Edwards has connections to the area.
Mr Edwards is described as white, 6ft 4ins tall with very dark short hair.
He is of medium build with broad shoulders and is normally clean shaven.
He has hazel-coloured eyes and usually wears black framed glasses.
A Staffordshire Police spokesperson said: “We are continuing to make inquiries to locate Mr Edwards and are concerned for his welfare as this behaviour is uncharacteristic.
“We would ask that anyone who has seen him, or had any contact, to get in touch.”
Anyone with information on Mr Edwards’ whereabouts is asked to contact police on 101, quoting Staffordshire Police incident number 747 of September 22.