Sources said Ajmal could be included in the World Cup squad by February 7 if he sails through the official test in India later this month.
Ajmal had got his unofficial bowling action test conducted on Monday in England, before being proceeded to Chennai, India for an official test on January 24.
Under ICC rules if a bowler fails a reassessment test he does not face any ban but will have to appear for another assessment, the time period for which will be determined by the ICC Bowling Review Group.
According to ICC rules, bowlers are allowed to bend their elbow by up to 15 degrees, beyond which the action is deemed illegal.
The 37-year-old was ranked world number one in one-day internationals when his action was reported during the Galle Test in Sri Lanka in August last year. He was suspended by the International Cricket Council (ICC) a month later after a bio-mechanical analysis.