Rangers manager Ally McCoist hopes there is a growing realisation at Ibrox that they will not walk away with the Irn-Bru Third Division title.
A crowd of 49,463 fans watched McCoist's side edge past Queen's Park on Saturday.
Lee McCulloch's double earned Rangers a 2-0 win but the second goal did not come until injury-time and Andrew Robertson had seen a great chance to equalise foiled by Neil Alexander.
Despite their inability to win away from home, Rangers had previously dominated their Ibrox games, scoring 14 goals in three matches.
But Queen's Park proved a serious test for McCoist's team, matching their hosts in possession for long spells.
The near sell-out crowd remained behind the team for the majority of the game though and McCoist was satisfied with the performance as his side displaced the amateurs at the top of the table.
He said: "Overall I don't think there's any doubt we deserved to win the game.
"We did lose our way a bit in the second half. That aside, I felt we knocked the ball about well for the majority of the game but we are still not creating as many chances as I would like.
"I actually thought it was a very good game of football. We expected a tough game. You can see they are a side who have a terrific team spirit and a huge amount of energy. We knew it would be that type of game."
Rangers drew their highest crowd of the season despite their 1-0 defeat by bottom club Stirling two weeks ago.
"It's an unbelievable attendance and there's something not right about it," McCoist said. "Time will tell if the attendances will stay high but the first sign of their backing was when we got 36,000 season tickets sold in the space of five days.
"That in itself was phenomenal. People have used the word defiance before about the fans but I think the word we should use is support, because that's what they are giving us."
He added: "I hope there is a realisation coming from everyone about the players we have lost and realise it's not going to be an overnight fix.
"But that's us top of the league now and I'm hoping we can now push through the mental barrier and kick on now."
Queen's Park manager Gardner Speirs was proud of his team but disappointed they could not come away with a point after pushing Rangers back for much of the final half hour.
"We had to weather a bit of a storm in the first 10 minutes of both halfs but we managed to do that," Speirs said. "The thing that pleased me was that when we lost the goal we seemed to get stronger. We put some really good passing moves together.
"We had a chance to equalise just after with young Andrew. He said his first touch wasn't so great and when he lifted his head it was just a big yellow goalkeeper in front of him.
"But Andrew has just come back after missing the last couple of games and I thought he and rest of the guys were excellent.
"We tried so hard to get back in the game and to lose one right at the end was, I think, unfair on us."