Jamieson, the New Zealand seamer, was signed for INR 1 crore at December's mini-auction but suffered a recurrence of a lower-back stress fracture shortly before last month's Test series against England. He is expected to miss several months of cricket, including the upcoming IPL.
Magala, 32, was unsold at the auction and has never previously featured in the IPL. He joins Super Kings at his base price of INR 50 lakh.
While Magala has a reputation as a death bowler, he was a threat in the powerplay during the SA20, taking half of his wickets within the first six overs. He is also a useful lower-order batter who has hit two half-centuries in his T20 career.
Super Kings will play in the opening fixture of IPL 2023 against defending champions Gujarat Titans in Ahmedabad, but it remains to be seen if Magala will be available at the start of the tournament.