Muralitharan, 32, the world's second-highest Test wicket-taker behind Australia's Shane Warne, had faced a virtual ban on the doosra after he was reported by English match-referee Chris Broad in March.
"I sincerely believe that I will be allowed to bowl the doosra again," Muralitharan told the Island daily here Tuesday.
Muralitharan, whose unorthodox action has seen him being no-balled for 'throwing' in the past, came under fresh scrutiny because of the doosra.
The bowler was told in April that if he persisted with it he could face a year-long ban.
Muralitharan said he was hopeful the ICC bowling action review panel, which is set to meet this week, would increase the tolerance levels to allow a greater bending of the arm so that he could resume the 'doosra'.
ICC chief executive Malcolm Speed had said a Sri Lankan report on Muralitharan's bowling action meant the 'doosra' could no longer be tolerated.
The report showed an initial straightening of the arm by 14 degrees which after remedial work was reduced to 10 degrees, still five degrees more than the level of tolerance for spinners.
Muralitharan is currently nursing a shoulder injury.
His world record of 532 Test wickets was overtaken by Warne on Australia's ongoing tour of India.
Muralitharan said if he was allowed to bowl the doosra, he would have taken more wickets.
"If I had bowled that particular delivery, I would have got more wickets and the team would have enjoyed more victories," he said. "But, unfortunately that wasn't so and I am keeping my fingers crossed..."
Sri Lanka in June asked the ICC to change laws in a bid to end controversy over the doosra delivery.
Sri Lanka Cricket president Mohan de Silva said it had asked the ICC to increase the tolerance limits on the angle of the bowling arm to possibly 15 degrees, up from a range of five degrees for spinners and 10 for pace bowlers.