Wimbledon bosses are consulting the government about whether to allow players from Russia and Belarus to compete in this year's tournament.
The All England Lawn Tennis Club said the issue is "complex and challenging".
Belarusian and Russian players, such as men's world number two Daniil Medvedev, have been allowed to play on tour, but not under their countries' flags.
"We plan to announce a decision ahead of our entry deadline in mid-May," an AELTC statement said.
Russia has been banned from defending its Davis Cup and Billie Jean King Cup team titles after the country's invasion of Ukraine - a military operation supported by Belarus.