Those close to Florentino say the president has been concerned about losing Mourinho in June.
But El Mundo Deportivo says Florentino told sports director Jose Angel Sanchez at a dinner meeting yesterday he was convinced Mourinho wanted to stay.
The president feels Mourinho is excited about the team he is building and determined to dethrone Barcelona.
Meanwhile, Florentino is also planning to make two new signings in consultation with Mourinho. The Real coach wants a new right-back and a ball-winning midfielder.