The champions are just 90 minutes away from a place in the history books as they look to round off their third tier season in style with victory over nearest challengers Dunfermline on Saturday.
Ally McCoist's side make the trip to East End Park having dropped just four points all season as they have eased to the silverware this term.The Light Blues' only previous unbeaten campaign came back in 1899 as they won all 18 fixtures to claim the Division One title.
And skipper McCulloch has hailed his Ibrox team-mates for their efforts as they have swept all before them in recent months.
He said: "We are 90 minutes away from what would be a massive achievement and we are determined not to slip up against Dunfermline.
"Winning the league is a big achievement in itself and was the main aim at the start of the season, but to go through the season unbeaten would be terrific.
"It is not something a team at this club has done for well over 100 years, and they didn't play as many games in that season.
"To do it nowadays and to go through a full league season unbeaten would be great and something for the players to be proud of, especially to have done it by getting more than 100 points and scoring more than 100 goals."
Rangers may have wrapped up the League One crown several weeks ago but they had to wait until last Saturday to finally get their hands on the silverware.
Goals from Fraser Aird, Arnold Peralta and Dean Shiels clinched a 3-0 win over Stranraer for McCoist's side before the trophy was presented to McCulloch by Ibrox legends Bobby Brown and Johnny Hubbard.
Boss McCoist made an emotional speech as he dedicated the Gers' title success to club legend Sandy Jardine, who passed away just days before the Light Blues' final home game of the campaign.
It was to prove a day of celebration and remembrance at Ibrox and McCulloch was delighted to play his part in proceedings and hold aloft the silverware for the second consecutive season.
He said: "It was a great turnout, the fans were superb and it was good to get the win and wrap it up the way we did, especially with the second-half performance.
"It was brilliant to dedicate it to Sandy Jardine, the dressing room was happy about that.
"It has been a bit of a long wait but when you are lifting the trophy as the captain of Rangers in front of a full house it doesn't get much better than that."