The left-back, who scored the only goal in last weekend’s win over Aston Villa, was forced off in the closing stages of that match and has not recovered in time for the upcoming fixture yet fully.
“It’s not good news about him,” said Silva when asked about the fitness of the 25-year-old.
"Sessegnon is going to be out of the next game, and probably the one after will be the same story for him, and then we will have to assess him day by day. For the Arsenal game, for sure out. For the game after, for sure out.
"Alex (Iwobi) is out still, plus Kevin. Kenny (Tete), we will have to see how he reacts from the last two sessions. He can probably be involved in the game.
“We have some doubts on some players, but we will assess them tomorrow to see how they react from things that happened in the week.”