The Scottish Premiership side will have to get past Dumbarton if they hope to meet Mark Warburton's men in the next round of the competition.
Ahead of their Scottish Cup replay with Dumbarton, Dundee boss Paul Hartley has admitted that the prospect of facing Rangers in the next round is a major incentive for his players, the Daily Record reports.
The Scottish Premiership team were held to a goalless draw when they came up against Stevie Aitken's side first time around, so will meet again at Dens Park on Tuesday to decide who will meet Mark Warburton's men in the quarter-finals.
And while Hartley - who won the competition twice as a player, with Hearts in 2006 and Celtic one year later - insisted that his men cannot look past Dumbarton, he conceded that the opportunity to face the Scottish Championship leaders is spurring the side on.
"If we can win the match we know who we face in the next round and that is a big incentive for the players and the club," he told the Record.
"But we must make sure we are at it in terms of the tempo, how we start the match and not get complacent throughout it.
"We have said all along the cups are really important to this club and if we get through this tie we have a quarter-final place."
While the Gers are currently in the division below, and the Dark Blues are in the top half of the Premiership table, there is no doubt that travelling to Ibrox and facing Rangers still has an enormous appeal.
However, Hartley will be keen to ensure that, should they beat Dumbarton, his players do not become overawed by the prospect of coming up against the Light Blues, and instead concentrate on making sure that they do everything they can to book their place in the last four of the competition.