Ally McCoist's side claimed their 10th successive win in the Irn-Bru Third Division on Saturday, with a late strike from Fraser Aird a cruel blow on a battling, 10-man Queen's Park.
The Gers are 15 points clear at the top of the table and are well on their way to crossing the winning line.
Crawford wants to keep up the momentum as the Ibrox side bid to claim their place in the history books with the fastest ever title win.
He said: "I wouldn't say [the pressure is off]. I think we need to work hard and see where it takes us.
"But we're not going to take our foot off now.We want to get the league won as soon as possible.
"In patches I thought I did well against Queen's Park. When they got the man sent off we switched the formation.
"[The record] is a good incentive but I don't think we're going to worry about that too much. Just as long as we get three points each week."
Crawford reckons Rangers could go unbeaten between now and the end of the campaign.
He said: "I don't see why not. We've got a squad that is settling down, I think the players are getting to know each other.
"The teething problems over. We're all confident and just looking to the future."
QUEEN'S PARK REACTION – P41