According to sources in Belgium and Germany the 21-year-old could be presented to the media on Wednesday before taking part in his first training session for his new side later in the week.
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"Coach [Roberto] Di Matteo understands my situation," De Bruyne told Bild. "I want to leave Chelsea and Werder is a good team."
The Belgium international signed for Chelsea for a fee in the region of £7 million in January from Genk but remained on loan with his old club for the remainder of the season.
He recently made two pre-season appearances for the Blues, featuring against Seattle Sounders and Paris Saint-Germain.
The current Champions League holders have been busy reshaping their squad so far this summer - bringing in Marko Marin, Eden and Thorgan Hazard and Oscar, while releasing Didier Drogba and Salomon Kalou.