Nicky Clark and Billy King are substituted for Dean Shiels and Kenny Miller for the final half hour.
Queen of the South's Chris Higgins is shown the yellow card for a foul on Barrie McKay.
The attendance at Palmerston is 5,449.
Rangers enjoy a period of attack, but the culmination of a bit of pin-ball around the Queens box is an over-hit cross from the right by James Tavernier that Jason Holt can only knock out for a goal-kick way beyond the far post.
It's all Queens so far in the second period. Danny Wilson only half clears, as does Rob Kiernan who gets his body position all wrong as he heads the ball straight to an opponent, but Wes Foderingham makes a good point-blank save from Jake Pickard.
"There has never been a goalless draw between these two clubs."
Queen of the South begin the second half.
"You may see Kenny Miller at some stage. Nicky Clark has huffed and puffed. They've got the boy (Harry) Forrester too. Rangers have got really good options on the bench."
"Rangers take risks. I'm sure Jim (QoS manager James Fowler) will be happy with the way the game is going just now. Rangers will see this as a game they must win because they don't want Hibernian to come back with a challenge."
Chances for Queens' Derek Lyle and Lewis Kidd have bookended the first half largely dominated by Rangers, who had the chance to break the deadlock through Nicky Clark when one on one with keeper Jim Atkinson.
Queens' 21-year-old goalie Jim Atkinson throws up his right arm to knock James Tavernier's 25-yard free-kick over the bar. There's a good chance he could have caught it but, as the subsequent corner kick comes to nothing, it was the right decision for the keeper.
What a shot by Lewis Kidd, who smacks the Rangers crossbar with a left-foot strike from 22 yards! That would have burst the net.
Barrie McKay is caught by Queens' Chris Higgins and gets a bit of treatment before continuing.
Queens midfielder Mark Millar is booked by referee Stephen Finnie for a foul on Barrie McKay.
Sent off in the 5-1 defeat by Rangers in Dumfries earlier in the season, Queens striker Derek Lyle hobbles off with a calf injury after 32 minutes. That's a blow for the hosts. On comes Iain Russell.
"Queens will have to retain that ball if they are to have any chance of winning this game."
Billy King makes space for himself 25 yards from goal but his left-foot effort drifts wide of the Queens goal.