Irving has not played since fracturing his kneecap in game one of the NBA Finals against the Golden State Warriors, while Shumpert has been out of action after undergoing wrist surgery in the off-season.
Both players are expected to travel with their teammates for the games against the Orlando Magic and the Boston Celtics, but Blatt is refusing to confirm whether they will be welcome back to the court.
"There's a chance that one or two or both will play on the trip, but there's also a chance they don't," Blatt told reporters. "We'll see how they're feeling.
"It's a day-to-day thing with both of them. We kind of like to let them get through the practice then, the next morning, gauge how they're feeling and then just go from there. But they both will be on the trip with us."
Cleveland are currently top of the Eastern Conference standings with a 14-7 record.