Pogba has seriously linked with an exit from Old Trafford and speculations claim he could leave in Janaury.
Madrid were keen on the 26-year-old last summer and were expected to reignite their interest in the winter window.
However, Pogba could now remain a United player until the end of the season.
The midfielder’s agent, Mino Raiola, has been reaching out to Madrid boss Zinedine Zidane, but has not got a positive response.
Attacking midfielder, Valverde, has burst through the ranks in recent months, meaning Zidane is not as desperate to strengthen his midfield options.