The striker has played just one minute of football this season, coming off the bench against rivals Luton Town last month to play the closing stages.
Deeney has been recovering from a knee injury that required surgery in the summer, but he is getting back to full fitness.
And when asked if the 32-year-old could play before players leave for international duty in 10 days’ time, Ivic replied: “Why not?
“Maybe he can be available for the next games to start to be part of the squad and maybe to use him for some part of the game.
“We will see now how he will be in the next days with his rehabilitation. He has worked with the team, we know that he has a problem, we try to solve this problem, and I believe that we are close to fixing what he has and starting to use him.
“He is an experienced player. He is a player, who every time he was with the team, he worked hard.
“He is a professional, he works to his maximum, and it is important to have one experienced player who knows the team and who knows the league.”
Watford are back in action on Saturday when they travel to Barnsley. Striker Andre Gray and midfielder Will Hughes are fit to be involved again, while there was good news about Stipe Perica.
The striker injured his shoulder against Bournemouth last weekend and there were fears he could have to have surgery to fix the issue.
But Ivic said: “It’s good news because he doesn’t need to do the surgery now at this moment.
“He will take part in some rehabilitation in the next 10 days, two weeks maximum, and after this international break I believe he will be available to be with us.”
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