Old Firm to play League Cup semi final
Morton will play Aberdeen in the other game
There will be another Old Firm match next month.
The Glasgow giants were paired together in the draw for the last four with Aberdeen facing Championship side Morton.
Celtic needed two late goals against Alloa on Wednesday to win their quarter-final while Rangers, winners of the trophy by beating the Bhoys in 2011, eased past Queen of the South on Tuesday.
Premiership champions Celtic beat promoted Rangers 5-1 when the sides met earlier this month.
The semi-finals will take place on the weekend of October 22-23, with the final being played on November 27.
Before then, attention returns to the league, which for Rangers means an eagerly awaited trip to Aberdeen on Sunday.
The Light Blues will be looking to make it three clean sheets in a row, having drawn 0-0 with Ross County last Saturday before the 5-0 midweek rout of Queen of the South.
Gers centre-back Danny Wilson admits their recent shutouts have been a bonus, but he was not overly concerned by criticism of their defending.
Last weekend's clean sheet against County was their first in the Premiership but the 24-year-old, who had missed Rangers' previous two games with a calf strain and watched his side concede six goals in total against Kilmarnock and Celtic, does not feel they needed to make major changes.
"We have tried to tweak one or two things but sometimes you get punished for your mistakes and sometimes you don't,'' Wilson told the Rangers website.
"The times you don't it maybe gets glossed over but the times you are punished it gets really highlighted.
"People want to point the fingers at defenders and it is a difficult job being a defender, usually if you make a mistake it can lead to a goal, whereas in the forward areas you always have that chance of putting the ball in the net another time.
"Criticism is part and parcel of the job and it is a job we all love doing so I don't really worry about anything that comes my way due to that."
Rangers are looking for their first league win in four games when they travel to Pittodrie but Wilson feels they are getting back to the standards they set last season.
"The team as a whole has been back to what we are used to so the clean sheets are a bonus, you pride yourself on them and we have conceded too many in the league,'' the former Hearts captain said.
"We were disappointed on Saturday not to get the win on top of it but it is back in the right direction and there will hopefully be more of the same this weekend.''