WTA chief executive Steve Simon insists his organisation is doing as much as it is able to for players from Ukraine.
World number one Iga Swiatek has said there should be a greater focus on helping Ukrainian players as the Russian invasion enters a second year.
She argued stricter guidelines and better leadership may have prevented Russia’s Anastasia Potapova wearing a Spartak Moscow shirt at Indian Wells earlier this week.
“We continue to do as much as we have the ability to do,” Simon told BBC Sport.
“We have done a lot for our athletes, I know there’s a variety of opinions on that out there.
“What’s going on in Ukraine is reprehensible. You can’t support it any way – nor what the Russian government is doing.
“We spoke with Anastasia directly and also have given her a warning so she knows that this was not appropriate and I don’t think we will see any further instances of this going forward.”
Players from Russia and Belarus have been classified as neutral athletes since the start of the war, but, as Aryna Sabalenka said after winning the Australian Open in January: “I think everyone still knows that I’m a Belarusian player.”
The All England Club and the LTA are currently finalising plans that will allow these players to compete on the grass this summer.
And the International Olympic Committee has signalled its desire to help Russian athletes compete at the 2024 Paris Olympics.
But Simon denies tennis’ resistance to Russia’s war is weakening.
“Our sympathies are at the highest level with everybody in Ukraine and I don’t think any of us can properly understand what they are going through,” he said.
“I don’t think that any of this is lessening what’s going on over there.
“We continue to speak with [Russian and Belarusian players] and make sure they understand about the sensitivities here and that they are competing as neutral athletes. I think there is a strong understanding on that.
“We’ve always had the position – and it’s been a fundamental position of the tour – that every player that is eligible should be allowed to play. And this is irrespective to decisions that may have been made by local governments.
“We’ve been consistent with that and we are going to stay consistent with that. We think that the neutral approach is appropriate.”