The Portuguese boss is keen to acquire the Real Madrid midfielder at Old Trafford as he looks to bolster his midfield in the summer.
Rodriguez has fallen out of favour under Zinedine Zidane and has been widely tipped to leave the Spanish capital.
United and Liverpool are both thought to be in the race for his signature although Mourinho is now stepping up his efforts to make a deal happen.
James Rodriguez is attracting interest from Manchester United
According to Spanish publication Don Balon, Mendes, who represents Mourinho and Rodriguez, is trying to get Real Madrid chief Florentino Perez to lower his £50m valuation.
And Spanish journalist Pipi Estrada reckons Mourinho is putting the wheels in motion to bring Mendes’ client to the Premier League.
Jose Mourinho has reportedly told Jorge Mendes to pursue James Rodriguez
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Estrada told El Chiringuito: "Jorge Mendes has spoken with Mourinho and Mourinho has told him that he wants James Rodriguez."
Rodriguez, who has scored just three times in the league this season, is under contract with Real until 2020.