Apparently the Justices issued a joint statement saying this is false. I've heard that despite their political differences, the Supreme Court gets along very well.
Sotomayor says she did not ask Gorsuch to mask up for Supreme Court bench
https://news.yahoo.com/supreme-court...174951065.html
Supreme Court Justices Neil Gorsuch and Sonia Sotomayor issued a rare joint statement Wednesday after NPR reported that Gorsuch refused a request by Chief Justice John Roberts to wear a mask during the current Omicron surge, forcing Sotomayor — who has diabetes and is at high risk for COVID-19 — to work remotely.
"Reporting that Justice Sotomayor asked Justice Gorsuch to wear a mask surprised us,” their statement read. “It is false. While we may sometimes disagree about the law, we are warm colleagues and friends."