The mere suggestion that the pair could play each other has echoes of the time the then 55-year-old Bobby Riggs, a tennis superstar of the 1930s and 1940s, took on Margaret Court and Billie Jean King.
Those matches in 1973 drew huge worldwide attention, particularly the latter, in Houston, that was dubbed the Battle of the Sexes.
New challenge? Andy Murray likes the idea of facing Serena Williams
In 1992, Jimmy Connors defeated Martina Navratilova in Las Vegas.
Murray would be expected to overcome Williams, although he would take nothing for granted.
The idea of a clash in the US gambling capital certainly appeals to the Scot.
Underdog: But Murray has described Williams as 'incredible'
'I've never hit with her but she's obviously an incredible player and I think people would be interested to see the men play against the women to see how the styles match up.
'It's happened in the past with Jimmy Connors and Martina Navratilova. How about Las Vegas as a venue?'
Previous: Jimmy Connors beat Martina Navratilova in 1992
Suitable setting? Murray believes such a match would be perfect in Las Vegas