The 30-year-old responded to abuse implying he was not trying after last Saturday's Championship defeat by Bolton.
"I think he was stupid in what he did because the one thing you don't do is go up against the fans," Jones told BBC Radio Sheffield.
"If I had my way then I'd ban the players from going on Twitter."
Jones continued: "There's only one thing he can do now, which is go out on the pitch and prove that it isn't true.
"He shouldn't have gone on there straight after the game because it's such a dangerous tool. I would just say you need to be sensible on it."