Van Ginkel was set to return to PSV this summer until knee problems forced the move to be suspended.
However, De Jong said in a question and answer session that Van Ginkel is 'always welcome' in Eindhoven.
The midfielder had three loan spells with PSV, but has not played a match for almost a year and a half due to an extended rehabilitation after a knee operation. Van Ginkel's contract with Chelsea will expire mid-2020.
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