He looks certain to be named in Australia's squad for the World Cup in West Indies and the United States
The 28-year-old clobbered left-arm spinner Karl Carver six times over the rope in the 16th over to join a select group that includes Garfield Sobers, Ravi Shastri, Herschelle Gibbs, Yuvraj Singh and Lancashire's Jordan Clark, who achieved it in a second-team game against Yorkshire.
"It was the right time in the game for me to go for it. It was all or nothing," Whiteley said.
"Unfortunately for the bowler it was a short boundary on the leg-side.
"I hit the first out of the screws and needed to keep going for the team, not for that achievement. It's something I never really thought I'd do in professional cricket."
Despite Whiteley's heroics, Worcestershire lost by 37 runs.