The two Scottish Championship sides meet at Hampden Park with more than just a trophy at stake.
The two Scottish Championship sides will look to bring the curtain down on their seasons in a positive manner when they meet at the national stadium with the Light Blues looking to secure a treble while Hibs will hope that the trophy can banish some of the painful memories of missing out on promotion to the Scottish Premiership.
And with the winner securing a spot in Europe for next season, Miller hinted that it could be quite a cagey contest.
"Some of those finals I've been involved in have been really tight affairs. I think back to the St Mirren in the League Cup final 2010 when we were down to nine men and Falkirk the year before in the Scottish Cup. Both those games ended 1-0," he told The Scottish Sun.
"It's a cup final and they are always tight games no matter who the opposition is, so I'm sure next Saturday's will no different."
With the possibility of playing continental football next year up for grabs, both Mark Warburton and Alan Stubbs will be desperate for their teams to ensure that they make no mistakes as it is arguably more than just a trophy at stake.
Following their play-off heartache, a place in Europe may help Hibs keep hold of their best players this summer, while for Rangers, it would surely help them attract much better players to Ibrox during the coming months.
And with the Gers having already secured two trophies, another win would send a message to the rest of the top flight that the side are not planning on simply making up the numbers next season.
But while Miller is predicting a close game, the style that Rangers have adopted in their previous two games at Hampden Park this season suggests that Warburton will not be sending his players out to keep things tight and then grab one goal.
Against both Peterhead and Celtic, the Gers played at a frenetic pace that possibly took both opponents by surprise, and they will be hoping that they can do something similar against Stubbs' side.