The Holland international joined Liverpool from Ajax in 2007 for £11.5million, but has struggled to secure regular first team football at Anfield.
The 21-year-old’s agent Winnie Haatrecht told De Telegraaf: “Ryan feels he is sitting too much on the bench and he wanted to play more.
“He requested me to ask Ajax if they would be interested in a temporary return.
“After they responded enthusiastically, I asked Liverpool to cooperate. The club, however, will not let him go.
“Rafa Benitez feels Ryan is too important. Hopefully this will be translated into increased minutes.
“Let us be clear Ryan is very happy, but to develop he needs to play more minutes.”