Juve's director general Giuseppe Marotta says Madrid's club president Florentino Perez made enquiries into the Frenchman's availability but he told him the player is not for sale
The young French midfielder impressed for the Serie A champions last season and that form attracted interest from los Blancos, according to Juve's director general.
Speaking at Thursday's Champions League draw in Monte Carlo, Marotta said the Turin giants turned down an approach for Pogba from Madrid.
"Florentino Perez enquired about him but there were no negotiations," Marotta told Sky Sport Italia.
The 20-year-old has become a key player in Antonio Conte's side following a switch from Manchester United in the summer of 2012.
The midfielder clocked up 38 appearances in all competitions for Juve last season, and made his senior France debut at the beginning of 2013 and Marotta insists they want to hold on to their star man,
He said: "We have no intention of selling him as he's no yet expressed his full potential."