The match was mentioned in a new book, Bookie Gambler Fixer Spy: A Journey to the Corrupt Heart of Cricket's Underworld, by Ed Hawkins.
Kent won the match, which was televised, by 14 runs.
A statement on the Sussex website said:
"The club can confirm approaches were made to players regarding this game. Working with the PCA (Professional Cricketers' Association), the club investigated and reported the issue at the time, passing all the information promptly to the ECB after the match.
"In conjunction with the ICC, a full investigation was undertaken with nothing untoward coming to light, and the club's prompt action receiving praise.
"There have been no further reports made to the club concerning any Sussex matches.
"As a club, we are committed to ensuring that the game's integrity is not breached at any time and we will continue to take a full and leading role in the ECB's endeavours to protect the game."
More top news
Bournemouth East MP Tobias Ellwood is reportedly prepared to resign as Defence Minister if the Government impose cuts on the Army.
Forecast for tonight and tomorrow in the west of the region
Forecast for tonight and tomorrow in the east of the region