Little's current deal with the runaway SPFL League One leaders expires at the end of the season.
And the Northern Ireland international has not held any talks with Gers officials about signing a new one.
Gers boss Ally McCoist is keen to speak to players who are free to leave in the summer.
But chief executive Graham Wallace is currently conducting a review of club business that will only be completed in mid-April.
Little, who was second top scorer for his boyhood heroes last season, is hoping the situation gets sorted in the near future.
He said: "My contract will be up in three months so, hopefully, I can get something sorted soon. Every player likes to know what his future is.
"The manager and myself would like to get it out of the way and signed. I wouldn't want to leave it to the summer, but there is not a lot I can do."
Little added: "Back in November, when I was injured, the manager spoke with my agent and let him know they still wanted to keep me.
"Since then there hasn't been much discussion, but I understand there are an awful lot of things out of the gaffer's hands and that are happening higher up on the board.
"I know I need to keep performing if I want to stay at this club which I'm dying to do."