Aged 24 the Burkina Faso International has played for Twente thoughout his career with the exception of a loan spell at Dutch rivals FC Zwolle.
Ouedraogo Battles Against PSV Last Season.
Rahim Ouedraogo however is looking for a move away from Twentre after only playing eight games last season for the club.
"Rahim has been given permission to go on trial, because we have already several good midfielders," said Twente general manager Johan Plageman
"If one of those midfielders would leave the club, we can sign players for those positions.
"Therefore he has got three days to impress the Championship club Sheffield United."
Meanwhile the Blades have rejected an offer from Scunthorpe United to take Billy Sharp on loan.