Rojo has returned to Carrington after a difficult loan spell with hometown club Estudiantes.
ESPN says Rojo has turned Solskjaer's head by putting in impressive displays in training, where he has also been willing to partake in double sessions.
Rojo is still likely to be allowed to leave this summer though, with a return to Argentina on the cards.
He is seen as one of a batch of fringe players United could offload in order to raise funds for new additions, although their high wages are said to be making it difficult to get them off the books.
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