The couple, who have been together for 12 years, are set to get hitched next week in their home city, Miami, reported Sun online.
"Anna's been gagging to get married for years but Enrique has resisted, openly talking about how he doesn't want to settle. They're finally going to do it next week and have invited stars including Nicole Sherzinger, Lewis Hamilton, Jennifer Lopez, Eva Longoria and David and Victoria Beckham," a source said.
Kournikova, 31, has been wearing a 3 million pounds diamond engagement ring for years and was said to have got secretly hitched to the 'Hero' hitmaker in 2011 after he introduced her as his wife to fans.