S.D. Codified Laws § 23A-3-14
Current with legislation signed by the governor on or before 3/6/2024
The term "fresh pursuit" as used in §§ 23A-3-10 to 23A-3-14, inclusive, shall include fresh pursuit as defined by the common law, and also the pursuit of a person who has committed a felony or who is reasonably suspected of having committed a felony. It shall also include the pursuit of a person suspected of having committed a supposed felony, though no felony has actually been committed, if there is reasonable ground for believing that a felony has been committed. Fresh pursuit as used in this title shall not necessarily imply instant pursuit, but pursuit without unreasonable delay.
SDCL 23A-3-14