But Simon points to the success of WTA tournaments in Qatar and says Saudi Arabia has made 'huge strides'.
"In February I went to Saudi Arabia to see it for myself.
There are still tons of issues in Saudi Arabia but the advancement for women's rights and where they are coming from is transformational right now.
Simon would not speculate on what kind of tournaments could potentially be held in Saudi Arabia, if at all.
Simon said had no concerns about the safety of lesbian players competing in Saudi Arabia, but conceded it was a sensitive issue.
Persons:
Steve Simon, They're, Simon, Andrea Gaudenzi, they've, Billie Jean King, Daniil Medvedev, Stan Wawrinka, Carlos Alcaraz, LIV, Martyn Herman, Christian Radnedge
Organizations:
Women's Tennis, WTA, ATP, Saudi Arabia's Public Investment Fund, American trailblazer, PGA, Thomson
Locations:
Saudi Arabia, Gulf, London, Saudi, Qatar