Shane Warne is convinced he will be fit to face Sri Lanka in the Test series in Australia next month as the broken bone in his left hand continues to improve.

Warne was originally feared to be out of the two Test series starting in Darwin on July 1 after breaking the bone leading to the knuckle of his little finger while batting for English county club Hampshire last week.

But the leg spinner said he was confident of playing in the second Test in Cairns starting on July 9 and remained hopeful of being fit for the first match.

"I would say my chances of playing in the first Test are now more than 50-50," he said.

"When the match begins it would have been 20 days since I broke it, so I am optimistic.

"The second Test in Cairns is a week or two after that so I have to be very confident of playing in that.

"All I can do to aid the healing process is not bang it again but I am happy with the way it's going. If it continues to heal as quickly as it has done, I should be OK for Darwin.

"Normally I am a very good healer. I have never broken a finger before but I got over my shoulder and my knee injuries, so there is no reason why I can't get over this.

"I suppose if you play cricket like I have done, year-round for 15 or 16 years I should be thankful this is my first broken finger."

Warne, 34, will fly to Australia on Friday and have x-rays on Monday under the eye of Australian team doctor Trefor (Trefor) James.

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