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The 20-year-old remains in discussions with the club over an extension to his contract, with no agreement yet reached following several months of negotiations.
Curtis, who has been with Rangers since the age of six, is refusing to become distracted by the uncertainty and has reiterated how much he is enjoying life under Derek McInnes.
Asked about his future, Curtis said: “Listen, I’ll leave that with my agent and the football club. Obviously, it’s a brilliant place to play football. I’ve been here since I was six years old, so we’ll see what happens.
“But, as I’ve said, I’m loving it here. With the new staff as well, you can feel that everyone wants the success that the fans and all the boys in here want.”
Curtis has faced fierce competition for minutes this season, but Rangers’ improving form has coincided with a run of 11 games unbeaten and a place in next month’s Premier Sports Cup final against Hibernian.
And the Scotland international is determined to concentrate on helping McInnes’ side deliver silverware rather than his contractual situation.
He said: “It’s massive that we can win a cup final before Christmas. Hopefully, we can pick up that first piece of silverware and then go on and do really well this season. I believe the boys in there can go and do it.
“It would mean everything [to lift silverware with Rangers]. Being a boyhood fan, it would be unbelievable. Hopefully, like I’ve said, we can do that.
“I just think there's a real willingness that I can feel this season, there is a real willingness within the group.
“Obviously loads of boys have been added and we've just not been there the past couple of seasons, but all we can do is just keep on working hard and focus on us and let results take care of themselves elsewhere.
“But every Rangers team wants to pick up three points every single week, so that's what we're going to try to do.”