Islamabad United, the team Asif plays for in the Pakistan Super League, confirmed the child's death in a statement issued late Sunday.
ISLU family pays its deepest condolences to @AasifAli2018 on the tragic loss of his daughter. The former all-rounder wrote on Twitter: "My condolences and prayers go to Asif Ali & his family on the passing of his daughter from cancer". Asif is a great example of strength and courage.
He had also asked fans to pray for his daughter.
Jones had broken down in tears at a media conference in March when talking about Ali and his daughter's condition.
England wicketkeeper Jos Buttler perfectly executed an extraordinary piece of skill to dismiss Sarfraz Ahmed during the fifth and final ODI against England at Headingly on Sunday.
Spearhead Amir was left out of the preliminary squad after a run of poor form, but was included in the final list despite not playing in the last four one-day internationals against England due to chicken pox.
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The hard-hitting Ali has scored 342 runs in 16 ODIs at an average of 31.09.
With the tournament just around the corner, World Cup fever has hit Sky Sports and punditry duo Nasser Hussain and Michael Atherton have selected their 15-man squads ahead of England's 5th ODI against Pakistan at Headingley.
Inzamam-ul-Haq said: "After it became obvious that the bat is likely to dominate the ball in the World Cup, we revisited our strategy and reverted to the pace of Mohammad Amir and Wahab Riaz".
"But if he can not make it back in time for those, we will wait for him whenever he does return".
For the moment, Asif might fly to U.S. to join his family during the tough time but according to PCB, the hard-hitting batsman is certain to return on time before Pakistan's World Cup opener against West Indies at Trent Bridge on May 31.
David Willey, with one expensive wicket as Pakistan were bowled out for 297 chasing England's 351 for nine, and Joe Denly appear the most vulnerable members of a squad who have had far too much power for Pakistan in this Royal London series.