Manchester United shot stopper Henderson has become increasingly frustrated at the lack of opportunities to be in post since returning to Old Trafford last August.
Tottenham and Borussia Dortmund are in pole position to grab him if he leaves Manchester United in the summer.
Spending more time on the bench next season is not what the England international can stomach any longer.
As Hugo Lloris is entering the final year of his present contract in the summer, Mourinho a known admirer of Henderson has continued to monitor developments at Old Trafford.
Only time will tell where Henderson will play next season.