It is believed Rojo has agreed personal terms with Boca Juniors, but negotiations over the fee continue.
Boca Juniors had hoped to sign the 30-year-old for nothing as he will be entering into the final six months of his contract.
Rojo spent the second half of last season on loan at Estudiantes and United had hoped to get offers for the Argentina international last summer.
However, Rojo has remained at Old Trafford and United chiefs are simply keen to get his £100,000-a-week wages off the payroll by offloading him this month.
The Argentine is yet to feature for the Red Devils this term and he’s been told he will not be offered an extension to his current deal, which expires at the end of the season.
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However, United have the option to extend Rojo’s contract and are reluctant to let him leave for free.
Rojo is eager to push a deal through – having not made a senior appearance for the Red Devils since November 2019 due to injury and a loan spell at boyhood club Estudiantes.
Despite his limited pitch time at Manchester United, Boca Juniors’ vice president Juan Roman Riquelme is looking to close a deal for Rojo – who has earned 61 caps and played in the 2014 World Cup final.
Not only Rojo, but also his compatriot Sergio Romero has been told he’s surplus to requirements at Old Trafford. The Argentine is third choice behind David De Gea and Dean Henderson at Old Trafford and he was angered that he was denied a move to Everton last summer.
Jesse Lingard who has had limited playing time this term could join the 30-year-old in departing Old Trafford this year.