Ajmal, 37, has remodelled his action since being suspended by the ICC in September, after he failed a biomechanics test in Brisbane.
"I am scheduled to be sent to Cardiff next week by the Pakistan Cricket Board for a private test and have already applied for the visa," Ajmal told reporters in Lahore.
"I have worked hard on correcting the flaws in my action and have made some minor changes to it. But I am confident that even after the changes, I will remain as effective as a bowler as I was before being suspended," Ajmal said.
"I am confident of a strong comeback to competitive cricket before the World Cup," he added.
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Ajmal said he had already undergone some tests at the National cricket academy bowling with his new action.
"I have been constantly tested with the cameras installed at the NCA and I am hopeful I will also clear the informal test in Cardiff," he added.
Once Ajmal is cleared in the informal test the PCB can request the ICC to have him undertake another official test at any ICC accredited lab before the World Cup.
Ajmal said he was disappointed at missing the series against Australia but said the spinners, Zulfiqar Babar and Yasir Shah played a key role in dominating the Australians.