The Frenchman set tongues wagging this week by praising the Spanish outfit and new manager Zinedine Zidane.
But while Pogba maintained he was still happy in Manchester, Marca now claim the midfielder is ready to leave for Madrid.
The Spanish outlet report that the club-record buy is actively seeking a new club, with agent Mino Raiola working to make it happen.
However, Marca also suggest Madrid are unsure whether to pursue a deal for Pogba, due to the fact Luka Modric is still considered a vital first-team player in the middle of the park.
“Like I’ve always said, Real Madrid is a dream for anyone. It’s one of the biggest clubs in the world,” Pogba said in France’s pre-Moldova press conference this week.
“There is also [Zinedine] Zidane as a coach and it’s a dream for anybody who likes football.
“For now, I’m at Manchester. We don’t know what the future holds. I’m at Manchester and I’m happy.”
The Frenchman was heavily linked with a move away from Old Trafford earlier in the season after clashing with former boss Jose Mourinho.
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But since Ole Gunnar Solskjaer’s arrival in December, Pogba’s form has picked up significantly.
And pundit Ian McGarry thinks there is a hidden motive behind the player’s Madrid comments.
“One of the more curious things about that quote was five minutes before he gave an interview to English media pledging his allegiance to Manchester United because Solskjaer is definitely the manager who has a great relationship with him and his players, who should be given the chance to take Manchester United on and how happy he was at Old Trafford,” he told The Transfer Window podcast.
“And this is ironic, but we used to call it in tabloids a ’come-and-get-me plea’ to Real Madrid, when he then spoke to the French media some minutes after the first interview he gave.
“With Pogba, I think it’s a pipe-dream because what Madrid are aiming for this season is, as we’ve spoken about on the podcast, Neymar as a top target, Eden Hazard as a secondary one and then we have all sorts of ideas around David de Gea.
“In fact, I did a little bit of research and I managed to find out Real Madrid have been linked with 27 different players in the last three weeks alone, with regards to their summer signing targets.”