Black was the first new player to sign for the fallen Glasgow giants when they dropped down to the Third Division.
The midfielder helped Ally McCoist's side win the fourth tier title by 24 points in the 2012/13 campaign.
And he has been an key cog in the Gers team this term as they have stormed 23 points clear in SPFL League One.
The former Inverness Caledonian Thistle and Hearts man is out of contract at the end of next season.
But he is keen to pledge his future to Rangers so he can help them compete against their Old Firm rivals.
Black said: "I have been consistent this season and the manager has been happy enough to play me every week. I have been doing something right.
"I just need to work hard, keep my head down and try to earn myself a new contract.
"I have got this year and next season just now. When you have got a year-and-a-half left then you obviously look to get a new deal and a bit of security for my career and for my family as well.
"I just want to work hard and hopefully things behind the scenes can work out for me."
He added: "My aim is to play in the top flight. Coming here when we were at the bottom my aim was to help the club get back up.
"Hopefully I can be rewarded with getting a deal to play in the Premiership with a club this size. It is up to me to keep playing well and trying to get one."