The Gers are at the top of the league table at the moment with 33 points from 12 matches.
Hibernian are currently second with 28 points and are very much in the running for the top spot.
Miller has suggested that he is impressed with Hibs so far this season, but he has insisted that he and his teammates are concerned only about their own results.
“They had a poor start to the league but have shown a level of consistency recently that they probably didn’t show last season,” the 35-year-old told striker told The Daily Record.
“Can they keep up a challenge? Who knows? When you get yourselves up for a big game and get the result, the next match is vital because you have to back it up.
“Time will tell with them but for us it is immaterial what they do. We are approaching every game to win it. If we do that, we win the league – it’s as simple as that.”
Rangers suffered their first league defeat of the season on Sunday when they went down 2-1 to Hibernian away from home at Easter Road.
That loss has raised hopes among the Hibs fans that they can launch a genuine challenge for the league title this campaign.
Mark Warburton’s side should still be considered firm favourites, though, as they have the best squad in the division.