The striker has been struggling for the last few weeks with the problem and finally conceded defeat in his battle to play through it a month ago in the 1-0 win at Elgin.
Little hasn’t featured since and has missed the last missed the last four games against Stirling, Montrose, Queen’s Park and Clyde.
He is progressing again now though and hopes he can keep doing that over the next few days to give himself a chance of featuring in the home meeting with Peterhead.
The Northern Ireland cap had been one of Rangers’ most in-form players prior to his injury, scoring nine times in six games in February and March.
His contribution up front has been missed, particularly in goalless draws with Albion and the Gable Endies.
Now, however, the 23-year-old is looking to finish the season with a flourish as he seeks to add to his tally of 25 goals so far this term.
Little said: “My knee is much better now. To be honest, I don’t think we really realised how serious it was when I first hurt it against Annan.
“I personally didn’t think it was as bad as it was and if I’d allowed it to settle down then I might have been back much quicker.
“I tried to play against Elgin because it was a big game for us but I probably shouldn’t have and maybe didn’t do myself any favours there.
“I might have done further damage there and that has delayed the healing process but I’m starting to look forward now to finishing off the season as well as I can.
“Hopefully I’ve a chance of playing against Peterhead. I don’t want to curse myself and we’re taking things day by day.
“I’m not happy to sit where I am and I want to finish the campaign well. I want to try to get a few more goals if I can.
“Lee McCulloch and I are both on 25 goals now so if we can both get into the team and try to add to our tallies personally and as a partnership that would be good.”