Chelsea striker Fernando Torres is understood to be set for a return to Atletico Madrid, according to Sky sources.
Mark Hughes insists Stoke will not be looking to make any major additions in the January transfer window.
The 26-year-old Norwegian returns to Spain just five months after leaving Real Sociedad for the Bundesliga, where he failed to command a regular place in the Eintracht first team.
Speaking to Celta's official website at his unveiling, Demidov said: "I'm very happy because I've come to an historic club.
"Hopefully I can stay beyond June 30 and do everything I can to help the team. At a good club like this, players need competition. If there wasn't any, this would not be a great club."
Celta currently sit 17th in the Primera Division table having claimed just one victory from their last 10 league games, with fellow promoted club Real Valladolid next up at the Balaidos.