Barca boss Tito Vilanova is thought to be a big fan of Sakho and speculation in Spain has suggested that he is one of their defensive targets for the summer, along with Chelsea's David Luiz and Mats Hummels of Borussia Dortmund.
Sakho has been in fine form for PSG this season and is understood to have attracted interest from a number of other top clubs around Europe.
However, he has no intention of leaving at the end of the season because he wants to fulfil his ambitions in the French capital.
He said: "Barcelona are the best team in Europe, but PSG want to reach their level.
"I want to be involved here as long as I can, if I am given opportunities to show my talent and play regularly."