Ayr United 0 Rangers 2: Rangers striker Jon Daly insists the League One leaders still have work to do to complete the second stage of their recovery.
Ally McCoist's side extended their unbeaten run to 30 matches at Somerset Park on Saturday.
It was the Ibrox men's 23rd league win from 24 matches this term and maintains their 23-point lead over nearest challengers Dunfermline.
Rangers can now clinch promotion to the Championship with five more wins, provided the Pars do not slip up before their decisive March 15 meeting in Glasgow and hand Gers the title sooner.
But Daly, whose side booked a William Hill Scottish Cup quarter-final slot against Albion Rovers by beating Jim Jefferies' team 4-0 last week, claims Gers are not getting ahead of themselves just yet.
He said: "We need to keep going. There's been a lot said about us being contenders for the Scottish Cup but obviously we'd like to keep winning games in the league, that's our bread and butter. We need to keep concentrating on that. We have a big game at home to Stenhousemuir next and we'll be looking to pick up three points there."
Daly nodded home Rangers' second to wrap up a game that could have swung the opposite way.
Rangers had Cammy Bell to thank after the former Kilmarnock keeper pulled off three impressive saves to deny former Gers striker Kevin Kyle and midfielders Craig Malcolm and Michael Donald during a shaky first 45 minutes.
But it took just 30 seconds of the second period for Rangers to go up a gear as Nicky Law bundled Fraser Aird's cross into the net before Daly bulleted his header home on the hour mark after United stopper David Hutton missed Lee Wallace's cross.