Lucien Favre's team are already assured of a place in the last 16 of this competition ahead of their meeting with Thierry Henry's men.
Monaco have picked up just one point from their five group games and their involvement in European competition this term will come to an end after this match.
Henry's team, then, are playing only for pride and they can be backed at 15/4 (4.75) with William Hill, while the odds compilers offer 16/5 (4.20) that the Ligue 1 side secure a share of the spoils against the German outfit.
Dortmund must win to give them a chance of topping Group A and William Hill go 4/6 (1.67) that Favre's men pick up all three points.
The hosts have been decimated by injury so far this season and Henry will be reticent to risk any players who are not fully fit given that Monaco's Champions League dream is already over.
Dortmund, too, could rotate given that they are already assured of progression as Favre tries to keep his side fresh in their bid for Bundesliga glory this season.
Monaco were battered 4-0 by Club Brugge on their own patch in this competition last month and, indeed, they have suffered six successive home defeats in this competition.
Henry's men have drawn a blank in three of their last four Champions League clashes and William Hill go 7/4 (2.75) that the hosts fail to score here.
The same firm go 13/8 (2.63) that the visitors (-1) beat the handicap mark, a selection that would have landed in four of Dortmund's last five victories in this competition.
Better value, though, may lie in backing Dortmund to win without conceding at 21/10 (3.10) with William Hill.
Favre's men have kept four clean sheets in five Champions League ties so far this season and their impressive defensive discipline could give them the edge in Tuesday's tussle.