Rittich signed a one-year, $1 million contract with the Kings on Wednesday.
Rittich allowed four goals on 26 shots in Wednesday's 4-3 loss to the Oilers.
Rittich is slated to start on the road against Edmonton in Game 5 on Wednesday, Jason Gregor of Sports 1440 Edmonton reports.
Rittich will guard the home net Sunday against the Oilers, Zach Dooley of the Kings' official site reports.
Rittich was the first goalie off the ice at the morning skate, Zach Dooley of LA Kings Insider reports, indicating he will patrol the home crease Saturday against Anaheim.
Rittich is expected to start on the road against San Jose on Thursday, according to Zach Dooley of LA Kings Insider.
Rittich will be between the visiting pipes in Calgary on Saturday, Pat Steinberg of Sportsnet 960 The Fan reports.
Rittich will guard the home goal against Minnesota on Wednesday, Russell Morgan of Hockey Royalty reports.
Rittich is expected to be between the pipes on the road for Saturday's clash with Dallas, Dennis Bernstein of The Fourth Period reports.
Rittich was the first goalie off the ice at the morning skate, per Zach Dooley of the Kings' official site, indicating he will protect the home net Monday versus the Islanders.