The two spinners were summmoned as replacements for injured ace Muralitharan.
Sri Lanka's Muttiah Muralitharan had shoulder surgery overnight and will be back to full fitness in five months.
The Sri Lanka spinner will have surgery on a career-threatening shoulder injury on Monday.
The Sri Lankan off spinner was forced out of the second and final Test against South Africa after complaining of intense pain.
The Sri Lanka off-spinner claimed his 528th wicket on the third day of the first Test against South Africa before the visitors closed play at 347 for 7.
The off-spinner is hopeful of winning the battle against the Trinidadian on the the tour of the Caribbean.
The ace spinner will sit out of Sri Lanka's last Super League match against India in the Asia Cup following the death of his grandfather.
Skipper Rahul Dravid says the absence of Tendulkar and Ganguly gives players like Sehwag, Yuvraj and Kaif a chance to stand up and be counted.
Sri Lanka beat West Indies by 240 runs in the second Test, to blank them 2-0 in the series
Warne has 520 career wickets, seven short of Sri Lanka off spinner Muttiah Muralitharan's world mark.
Murali took 6-36 and Samaraweera top scored with 51 in their second innings.
Sri Lanka captain Marvan Atapattu said they would struggle against the world champions without the off spinner.
A matchmaking website features a purported profile of the Sri Lankan off-spinner.
The off-spinner has been named in a 16-man squad to tour Australia this month.
The Sri Lanka spinner said it was a key factor in him equalling the world record for Test wickets.
Indian captain Saurav Ganguly failed to make the cut for the ICC World XI preliminary squads, for October's Johnie Walker Super Series against Australia.
The ICC chief said match officials are well within their rights to raise concerns about any delivery from any bowler.
Hair, who no-balled Muralitharan for throwing in the 1995-96 Melbourne Test, will officiate in Lanka's match against England in Sydney.
Australia reached 80 for three in their second innings, a 74-run lead after Sri Lanka were bowled out for 407 in their first innings on the third day.
Australia one-day captain believes that playing against the Sri Lanka off-spinner is largely guesswork.
Muttiah Muralitharan became the third bowler in history to claim 500 wickets as Sri Lanka bundled out Australia for 120 on the opening day of the second Test.
He was place behind Don Bradman and Viv Richards in the Test and ODI format.
Muralitharan wants to race with Warne to the historic 500 Test wicket milestone.
Ravichandran Ashwin on Sunday became the joint fastest to take 350 wickets, matching Sri Lankan great Muttiah Muralitharan's feat in his 66th Test.
Muralitharan will resume bowling on March 17 after shoulder surgery while Zoysa is recovering from a knee injury.
"What goes on the field should stay on the field," said the England batsman.
England lost four wickets for 30 runs either side of tea to close on 163 for four, still 219 adrift of the Sri Lankan total.
Muralitharan took seven wickets to put Sri Lanka in charge before the England spinners struck blows of their own.
England batsman Graham Thorpe aims to relive one of his greatest achievements when the first Test against Sri Lanka.
Sri Lankan spin legend Muttiah Muralitharan will be inaugurating the new cricket pitches laid in a stadium in the former LTTE stronghold of Kilinochchi.
Sri Lanka defeated Pakistan by 201 runs on the final day of the first Test on Sunday.
Muttiah Muralitharan bowled with a cast on his arm which did not allow him to bend the arm beyond the defined limit.
Former Australian bowler and influential coach Bruce Yardley died on Wednesday at the age of 71 after a battle with cancer.
Zimbabwe were dismissed for 102 in their second innings, as Sri Lanka won the first Test by an innings and 240 runs.
If Warne can be denied the nine wickets he needs then Muralitharan will have a chance at the record during the two-Test tour to Zimbabwe.