The Dutchman joined the Blades last November from AZ Alkmaar and has been slowly introduced to the squad but has decided to leave the club after the outburst in a recent game with Derby.
Dries came on as a second half substitute while the Blades where drawing 1-1 with the Rams but 15 minutes later was substituted without reason.
"Dries has left by mutual consent, but has done so on the best of terms, despite him being naturally disappointed with the circumstances of the other night (Tuesday against Derby County)," Warnock told sufc.co.uk.
"He felt he wasn't getting anywhere and I couldn't offer him anything for next season at this moment in time.
"If he doesn't get fixed up over here he intends to go back to Holland, but he will still be able to help us as a football agent.
"He has extensive contacts with the major clubs such as Ajax and PSV, and a friendship with Ruud Gullit, who is at Feyenoord, so is well-placed to monitor what is going on over there.
"Having played for us and knowing what the English game is like, he can look for the type of player we would be interested in."