Kaeding joined the Dolphins on Friday. Carpenter, who went 22 for 27 on field-goal tries this season, first appeared on the injury report Thursday.
Kaeding is the most accurate field-goal kicker in NFL history at 87 percent (180 of 207), and he made the Pro Bowl in 2006 and 2009. He had been a free agent since he was released from injured reserve by the San Diego Chargers on Oct. 30.
He made all seven field-goal tries in three games with the Chargers this year before being sidelined by a groin injury.
The Dolphins (6-8) play host to Buffalo on Sunday.