But discussions have begun to see if the playmaker’s time in east Hull can be extended.
“It’s between our chief executive (Mike Smith) and Terry’s manager now,” Chester told the Hull Daily Mail.
“We’ll be hopeful of coming to some kind of arrangement because he is a big part of this team. He had a great game against Wigan and he’s bringing the group together.
“Terry loves it here and I’d happily have him around the place for another couple of years.
“He came over on a one-year deal to see if he would like it and see whether he still could play. He proved that last weekend and he has been playing out of his skin.
“He has certainly proved a few people wrong in Australia. He’s been a class act for us and very professional in everything he does.”