Rinne allowed three goals on 39 shots in a 5-3 victory against the Stars on Tuesday.
Rinne will tend the road twine in Tuesday's game versus the Stars, Thomas Willis of the Predators' official site reports.
Rinne was sharp Thursday, making 34 saves in a 3-1 win over the visiting Canadiens.
Rinne will tend the twine at home versus Montreal on Thursday, Marc Antoine Godin of The Athletic reports.
Rinne is preparing to take on the Red Wings in a home start Tuesday, Paul Skrbina of The Tennessean reports.
Rinne made 30 saves Saturday in a 3-2 loss to the Blues.
Rinne led the Predators out to the ice for pregame warmups, Brooks Bratten of the Predators' official site reports. As a result, the Finn will be the road starter versus the Blues.
Rinne will be in goal Monday at home versus the Coyotes.
Rinne will draw the start in Saturday's tilt against Dallas, Matthew DeFranks of The Dallas Morning News reports.
Rinne turned aside 35-of-36 shots in Monday's 4-1 win over Colorado.