He was expected to delay the surgery for 10 days until the swelling from the injury had subsided.
The Toffees are determined to get their man back in action as soon as possible, however, after their place in the inaugural Europa Cup was confirmed for next season when Cup final opponents Chelsea guaranteed their own place in the Champions League.
Jagielka admitted that he "cried and cried and cried" when he realised that the greatest moment of his club career had been taken away.
He has received great support from club-mate Mikel Arteta who suffered a similar injury earlier in the season which has also ended his campaign.
Jagielka added: "Arteta was there at Wembley for our semi-final win over United to see us get through, but he was obviously gutted that he wouldn't be there in the team for the final.
"Now I'm in the same boat, so it's nice that I've got someone going through a similar situation. He is obviously a month or two ahead of me (with his rehabilitation) so he can help me and guide me along the way when I'm feeling down."
Immediately after Jagielka suffered his injury, Rathbone said: "He is a tough guy, he will get on with it all and he will hopefully be back as good as new as near as possible to the start of next season."
Manager David Moyes has had to contend with a number of serious injuries to several key players this season.
Midfielder Arteta suffered his cruciate knee ligament injury in February, striker Yakubu ruptured his Achilles tendon in November and forward Victor Anichebe was ruled out of the season because of a knee cartilage problem in March.
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