Both Japan winger Mitoma and Holland defender Van Hecke are inside the final 18 months of their current deals.
Asked if the pair could sign new deals, Hurzeler refused to commit, instead stating: "Yes, you can be sure that we are in a very transparent exchange with the players. I think the players know where they stand. We know what we want from them. They know what we want from them.
"It's very important to be very transparent, to be clear about the future. But the most important thing in football is always to be in the present. The present is the only thing that we and the players can control. Every player has a vision, has a goal in their career, but it's not important to chase the dream.
"The dream will come to you if you are excellent today, if you're excellent tomorrow, if you keep controlling the things you can control and try to be the best version of yourself every day. And then you will see what happens. The future you can't influence, but you can impact the day to day. That is the only thing I focus on and the players focus on as well."
Asked directly if Mitoma and Van Hecke will sign new deals, the German could only say: "In football, we all know that everything is possible. I think both know we really enjoy working with them. They both are very important players. As a club, we don't have to hide this opinion.
"We should be quite honest about this, but in the end you can only impact certain things and there’s always two sides, the club’s side and the player’s side. But I think they all know what they have playing for Brighton. They all know that Brighton gave them the opportunity to develop, gave them opportunity to play at the highest level in the best league in the world."