The Portuguese suffered a fractured dislocation to his right ankle against Spurs on Sunday and underwent successful surgery on Monday.
Silva said: "It is not easy for us to give a sure date about when he will return.
"What is in our mind and the feedback I had from our medical staff is that possibly we will see Andre playing again this season.
"After the surgery and all the exams they did, everything went really well.
"We hope we can see Andre playing again this season.
"We are not 100 per cent sure but we have good possibilities to do that.
"Last Tuesday, before he went home, he was here with us at Finch Farm (Everton's training ground).
"It was good for our group to spend some minutes with him and for him to feel that support as well."