Despite eventually going down 3-0, the Staggies were dangerous on the break in the East End on Saturday, and could well have had the lead in the first-half.
Speaking at this morning’s press conference, McAllister said: “Watching the bits of Ross County at Celtic Park, they had opportunities. They countered well and they were organised so we are expecting a tough game.
Rangers go into Wednesday’s Ibrox clash with the Highlanders off the back of the disappointment of losing to Hearts at Tynecastle on Sunday.
McAllister was quizzed on the debrief following that loss, and he explained: “Obviously everyone is disappointed with the performance and the result. We have had a good chat here and gone over a few things.
“We didn’t play and we didn’t compete, but the players are well-aware and the beauty is, we have games coming up and we don’t have a lot of time to dwell. We have got to push it to the back-burner and move forward.”
Asked also if Rangers can’t afford to drop any more points, the assistant boss added: “We need to be pretty perfect and we are well-aware of that. We have a rough idea of what points tally will be required to be successful, but yeah, there is very little wriggle room.”
Rangers won their first two matches following the January break, defeating Stranraer and St Mirren, though McAllister conceded they weren’t at their best in coming through those.
He continued: “If you look at the three performances since we have come back, you would have to say we have not performed particularly well.
“We went over and ticked the boxes on a lot of the things we have been trying to produce on the pitch prior to the break.
“So the winter break went well, but we have not performed since we have come back, that is plain to see.”
McAllister also gave an injury update on Ryan Jack after the midfielder went off at half-time in Sunday’s loss.
He said: “Ryan has just had a little re-occurrence of an injury he has had in the past in his calf. We are hoping it is not as bad as we first thought.
“They are talking maybe 10 days to two weeks.”