Gallagher, who is currently on loan at Crystal Palace, has enjoyed a breakthrough season. The England star has scored six goals and provided three assists so far this season.
He has generally impressed with his energetic and dynamic performances.
And The Sun reports that Gallagher’s performances have attracted the attention of PSG and Pochettino.
Pochettino is urging the PSG board to bring the English midfielder to the French capital.
According to the report, PSG believes the Blues may be willing to sell the midfielder his status as one of the most exciting young players in the Premier League.
The opportunity to play alongside the likes of Lionel Messi, Kylian Mbappe and Neymar in Paris would surely be too good for the youngster to turn down.