In an interview last week the Uruguay striker said, unlike during a disruptive summer last year when he tried to engineer a move, he was settled at Anfield.
Securing Champions League football - in addition to signing a lucrative new contract in December - will have no doubt helped the 27-year-old's state of mind, and being named Professional Footballers' Association player of the year capped a remarkable turnaround in the last 12 months.
"Congratulations to him. It was an award that was really special for him because it came from his peers," Rodgers said of his 30-goal forward.
"He has been outstanding in all my time here and obviously, in particular, this season.
"So it was very well deserved and I know he really respected it, coming from the players in this country. I know he's happy.
"To know that he's happy is important, like it is with all of our players.
"It's very important that we have players here that are content, happy and focused on Liverpool."
Source: PA