As things stand at the moment, Rangers are five points clear of second-place Hibernian at the top of the table.
The gap would have been bigger than Hibs not defeated Mark Warburton’s side 2-1 at Easter Road in the league at the start of the month.
Rangers midfielder Halliday is confident about his side’s chances of gaining automatic promotion to the Scottish Premiership at the end of the season.
The 24-year-old former Middlesbrough star believes that there is more pressure on Rangers than on Hibernian.
"Obviously Hibs won that game at Easter Road so they have their bragging rights,” Halliday told STV. “They’ve got whatever they want to say in the media.
"But to be honest I’m not too interested. Obviously we’ve got the same expectations as they’ve got to try and win the league but we’ve got higher demands than them.
"We’ve got the belief that we’ve got what it takes to win this league. One defeat out of 12 is not so bad but at the same time it felt like a bigger defeat than normal because it was such a big game.”
Hibernian will return to Scottish Championship action on Tuesday evening when they take on Livingston at Easter Road.
Alan Stubbs’s side will then face Alloa Athletic away from home on Saturday afternoon, while Rangers will take on Livingston at the Tony Macaroni Arena.