Konstantopoulos's current deal expires at the end of the season.
"I'm here until the end of the season, then we will see what happens," he told the Northern Echo.
"The better you play, the more you impress the coach, so hopefully that can continue for me. Things at the start of the season were different. The manager was different and it wasn't the best situation for me.
"But I kept working hard and the new gaffer came in and things changed. We have really good keepers at the club and it keeps us on our toes, that's the key. We have to work hard to keep our place. Not just keepers, every position too."
Konstantopoulous has kept five clean sheets in his last nine Championship appearances.