The Gers played out a 1-1 draw with Livingston away from home at the Tony Macaroni Arena in the Scottish Championship on Saturday afternoon.
Title challengers Hibernian defeated Alloa Athletic 1-0 away from home at the The Indodrill Stadium on Saturday as well.
The results mean that Rangers are now level on points with Hibernian and are on top only on goal difference.
Holt, who joined Rangers in the summer transfer window after leaving Heart of Midlothian, is not too fussed about Hibs’ win.
“It doesn’t changes anything for us; we concentrate on ourselves and go back to the basic of trying to get the wins,” the 22-year-old midfielder told Rangers’ official website. “That has been the thing for us right since the start of the season and that won’t change.
"It is just disappointing not to get the win, I think when we were on top we had to take the chances we could and we didn’t do that.”
Rangers took the lead against Livingston at the Tony Macaroni Arena midway through the first half when Jason Holt pounced on a loose ball and found the net.
The home team restored parity just six minutes into the second half through Miles Hippolyte, who beat Rangers goalkeeper Wes Foderingham from just outside the box.
Rangers actually have a game in hand, which means that potentially they are three points clear of second-place Hibernian.