Hasaranga has not played any cricket since tearing his left hamstring during Sri Lanka's opening game at the T20 World Cup in February.
It was hoped that the 28-year-old would recover in time to play a part in the IPL campaign with the Super Giants but that has now been vanquished.
"We are preparing for the fact that he isn't going to be able to join us," Super Giants director of cricket Tom Moody said.
"We are looking at replacements, that should be announced in 24-48 hours."
Despite Hasaranga absence, the Super Giants have made an impressive start to the 2026 IPL tournament with two wins in their opening three matches.
They next have a home fixture against Gujarat Titans on Sunday.
In a classic IPL nail-biter that went right down to the wire, Lucknow Super Giants pulled off a sensational chase, defeating Kolkata Knight Riders by 3 wickets with the very last ball at Eden Gardens on Thursday.
David Miller could not provide the finishing touch as the Delhi Capitals fell to a one-run defeat against Gujarat Titans in a thrilling Indian Premier League clash.
Yashasvi Jaiswal smashed an unbeaten 77 from just 32 balls as Rajasthan Royals beat Mumbai Indians by 27 runs in their IPL encounter that was reduced to 11 overs because of rain.
Chennai Super Kings coach Stephen Fleming is hopeful South African star Dewald Brevis will feature in their fixture against Delhi Capitals on Saturday.
