The 34-year-old hasn't played since the 1-1 Irn-Bru Third Division draw draw with Elgin City on January 5 at Ibrox.
McCulloch has been plagued by an ankle injury which has only begun to clear in the last 10 days.
The veteran admits he was feeling a bit down, but he returned to full training at the start of the week and hopes to return at home to East Stirling tomorrow.
McCulloch added: "I have to say the gaffer has been brilliant with me. He has recognised I've been a wee bit down and has given me a few days off to spend it with my family.
"He knew I'd come back and work hard. I've done that and after breaking down three or four times, I feel I'm at a point where I'm just about ready to play again."
Gers have fired in 11 goals against the Shire in two victories this season and the ex-Scotland man would love to be involved.
However, he knows he won't be as sharp as he would normally be for the meeting with John Coughlin's men.
"I've not done anything for the last six weeks after playing two games with the injury. That probably made it worse and I couldn't run properly," McCulloch said on the Rangers website.
"It didn't seem to get any better over the period I was out but I saw a specialist who gave me a specific treatment and within three or four days that cleared it up.
"I was able to jog again and I started full training again at the start of this week so I'm still going to be a half-yard off the pace."
He went on: "Things have turned out really well so far. I'm just happy to be back running again and a week of training will make a big difference.
"I'd hope to be involved in some way at the weekend and I want to play. I wanted to play against Stirling on Tuesday after doing 20 minutes of training the day before.
"The coaches laughed at me though because my adrenalin had kicked in a bit so I just walked away and accepted it was maybe a bit early."
