The Dutchman was sent off in the 62 minute when referee Kevin Wright decided that Hasselbaink's effort for a 50/50 ball was dangerous play. Hasselbaink went off and the 10 men lasted 9 minutes before conceeding an equaliser.
"It wasn't a sending off and we will appeal," said Dave Jones. "Hopefully, the referee might take another look and decide it was a harsh decision.
"Jimmy went for the ball and never took his eyes off it. If the goalkeeper had caught Jimmy would it have been a penalty?
"If the suspension stands it will be a killer. We are already without Kevin McNaughton because of injury. Jimmy is a key part of our team and it's a real blow."
Geraint Williams backed Jones' claim, saying: "It was a harsh decision to send Hasselbaink off.
"There was nothing malicious in the challenge. It was a ball he had to challenge for.
"The goalkeeper took a blow to the head, but that happens in football."
Should the ban stand Jimmy will miss three games returning for the cup semi final.
