Shane, who died of a heart attack at the age of 52, said in his memoirs that being with the actress was “like magic”.
The wonderful Australian spin-bowler added sharply: “I will always take care of her and be there when she needs me. We had something very special.
“I don’t regret anything and now I have a special friend forever. Who knows what the future holds?
“Maybe romance and relationships will come to life again one day.”
“Warney” was found dead in his room on the island of Koh Samui in Thailand last Friday.
In his book No Spin, which he wrote three years ago, he argued that with him “there was enough drama”.
He said: “Most of my life I have not thought about the consequences.
“But as a father of three grown children, I definitely have to now, otherwise their maturity will pass me by.
“So I’m going to keep everything to myself a lot more and live less on the border.
“The truth is that I want to share my life with a beautiful woman, not to be a lonely old fool who gets on the newsletter here and there.
“The more I remember the time with Elizabeth, the more I think about how useful a good relationship is.
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“I can’t think of anything better than to be in a strong relationship and take care of each other.”
It comes when Shane’s son Jackson Warne, 22, paid tribute to his father.
He wrote: “I will miss you very much, Dad, and you really were the best parents and friends anyone could ask for.”