The Hamburg captain is out of contract in the summer and could decide to leave following four seasons at the German club.
Crystal Palace tried and failed to land him in January as Hamburg refused to let such an important member of their first team leave as they battled against relegation.
However, Djourou may feel that the time is right to return to London at the end of the season.
And, according to Bild, he will be offered that chance by West Ham, who are expected to strengthen their squad when the season finishes.