McSweeney remembers watching on television when SA captured the trophy in 2011/12 amid controversy.
Scores in the final against Tasmania were tied but SA was deemed the winner as they finished above the Tasmanians during the preliminary rounds.
The South Australians haven't won the one-day trophy since.
But McSweeney hopes to end the state's drought when hosting Victoria at Adelaide Oval on Saturday for the freshly-named Dean Jones Trophy.
"We all know that it has been a long time since we have been able to win something," McSweeney told reporters on Friday.
"So it would be special if we could do it.
"Our preparation this week has been elite so hopefully it translates to some good performances."
SA also hold top position with two rounds remaining in the Sheffield Shield. The state hasn't won the four-day competition since 1995/96.
"We haven't had the success we would have like over the last few years," McSweeney said.
"But at the start of the year, this is exactly where we wanted to be, so everyone is super excited.
"And hopefully our best cricket is to come. We have got an obviously very important game tomorrow and hopefully a couple more shield games to finish the year."
In the one-day competition, both SA and Victoria won four games, with McSweeney's side banking three bonus point triumphs to secure hosting rights.
The states met only once, when ex-Victorian Mackenzie Harvey blasted an unbeaten 136 to lead SA to victory.
Harvey, who shifted to Adelaide when cut from Victoria's contracted player list at the end of last season, went on to top the runscorer's list in the tournament, with 311 at an average of 62.20.
"He has been elite for us," McSweeney said of the 24-year-old.
"He is batting beautifully, knows the bowlers really well being from Victoria - hopefully he has got another good knock in him."
The cup competition was this season re-named the Dean Jones Trophy after the batting legend who died in 2020.
"Dean Jones obviously played a lot for Victoria and did so much for Victorian cricket," Victorian captain Will Sutherland told reporters on Friday.
"It is sad that Dean has passed away but I am sure a lot of the boys, and I, had a little bit to do with him - a superstar.
"And it just makes it extra special that it is named after him."
The player of the final will be awarded the Michael Bevan medal for the first time.
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