According to reports, the deal could be worth 33 billion dollars (equivalent to 333 billion kronor) and would thus be Alphabet's largest to date.
Even last year, negotiations were underway for a purchase worth 23 billion dollars – but no deal was made then.
For Alphabet, the purchase, which is said to be made public as early as Tuesday, would bring advantages in cloud services, where Wiz is specialized, in the competition against competitors such as Amazon and Microsoft.
According to the Wall Street Journal, Alphabet's previous largest purchase was when Motorola Mobility was taken over in 2012 for 12.5 billion dollars.
But even if Alphabet and Wiz agree on a purchase, competition authorities in both the USA and Europe may have objections.