Rotherham boss Ronnie Moore said: "Jason has gone out on loan to get some games under his belt.
"He hasn't featured much this season, Rochdale came in for him and we feel that it is a good deal for both parties."
Manchester United's teenage striker Marcus Rashford scored on his senior England debut against Australia at the Stadium of Light.
Real Madrid take on neighbours Atletico in the Champions League final on Saturday night.
Real Madrid face neighbours Atletico in the Champions League final on Saturday looking to secure their 11th European crown.
Manchester United sacked Louis van Gaal as manager this week, with the team's style of play under the Dutchman reportedly key to the decision.
Jose Mourinho has been named as Manchester United's new manager - an appointment that unites a man whose handling of
The rivalry between Jose Mourinho and Pep Guardiola will be renewed next season, with the pair taking charge of the