Ally McCoist insists Rangers do not fear the prospect of facing Premiership opposition in the fifth round of the Scottish Cup.
The Light Blues left it late to see off 10-man Falkirk 2-0 - courtesy of Nicky Law and David Templeton - to book their place in Monday's draw.
He said: "One of the boys at the press conference yesterday said that one of the bookies made us second favourites, which is fair enough.
"But the majority of bookies have still got Aberdeen, Dundee United and Motherwell above us. The bookies don't often get things wrong.
"We have put ourselves in the position where we can hopefully get a home tie in the next round. You can't pick and choose.
"Time will tell whether we are good enough to beat opposition of that quality but it's certainly not something that scares us."
As to the game itself, McCoist added: "It's a relief but I've got to say I hope that because we scored two late goals that it doesn't take away from the fact that we deserved to win the game.
"I don't think there is any doubt about that. The chances we missed, we could have made life a little bit easier for ourselves.
"I'm actually delighted with the way the boys went about it.
"There was a different build up and everybody was appreciative of the fact that it was our first different test for the team.
"I thought they passed it very well today and it was a relief to score just at the end of the 90 minutes."
Falkirk played just over half an hour with 10 men after David McCracken was shown a straight red card for hauling back Nicky Clark.
Asked about the ordering off, Bairns boss Gary Holt said: "I haven't seen it again so I will bite my tongue a little bit.
"Referees have got hard enough decisions to make without me jumping on the bandwagon.
"You've just got to deal with the situation and try to adapt to it, which I think we did.
"Whether it was or wasn't a sending-off, we'll have to wait and see it again. If he got it right, he got it right. If he got it wrong, it's part of football.
"We deal with it and move on. David is adamant it wasn't but I haven't seen it again."
Rangers later announced they would be launching an investigation after a flare was thrown onto the pitch after the final whistle, damaging the artificial surface.