Rangers will meet Motherwell in the Scottish Premiership play-off final despite a 1-0 defeat at Hibernian on Saturday.
Stuart McCall's men headed to Easter Road with a 2-0 advantage from the first leg, with Nicky Clark and Kenny Miller having found the net at Ibrox on Wednesday.
And Rangers did a sterling job of protecting their lead in Edinburgh against the Championship runners-up, with their hosts piling on the pressure in the opening 20 minutes.
"We knew we'd be put under the cosh and a fourth game in 12 days was always going to be difficult," McCall told BBC Scotland. "But, to a man, we got stuck in and defended well. They all did a shift.
"The fans kept us going for the final 25 minutes because that's all you could hear.
"I was disappointed to lose a goal in the last minute. Thankfully, it wasn't five minutes before because I don't think we could have coped with extra-time; too many tired legs, tired bodies."
Motherwell were already assured of their place in the play-off prior to Saturday's last round of fixtures in the Premiership's bottom half - Ian Baraclough's men playing out a goalless draw at home to Partick Thistle.
"We've already started preparing [for the play-off against Rangers] and we've watched them five or six times at Ibrox," said Baraclough. "We'll go to Ibrox with belief that we can give them problems."
