Boss Ally McCoist is hopeful Rangers would be able to hold their own if paired with Scottish Premiership opposition in the next round of the William Hill Scottish Cup.
The Light Blues booked their place in the fourth round with a comfortable 3-0 win over Airdrie at Ibrox on Friday night, with Jon Daly claiming a double and substitute David Templeton also on the scoresheet.
Rangers were well beaten when they were dumped out of the competition by Dundee United last year, but McCoist believes his Scottish League One side should be better equipped to compete with top-flight opposition this time around.
He said: "It would be another test. If we get a Premiership side we will just have to deal with it when it comes.
"We've got a group of players who have had top SPL experience so I would be very hopeful we could give a good account of ourselves against a top team.
"I would take a home tie, which would be great. I think that's all you can ask for. I wouldn't start singling out teams who we would want or want to avoid.
"I don't think we are in a position to do that but if somebody could offer me a home draw I would take that."
Daly's double took his tally for the season so far to 14 goals, with seven of that total coming in the Dublin native's last four appearances.
McCoist said: "I'm delighted with Jon. His first goal was a great finish and the second one is the type of goal you would expect from the big fella."