Coronavirus testing service set up by Cardiff University
Cardiff University said students would be invited to take part, but testing would be voluntary.
Swansea University said it had considered it but decided against it on the advice of the local health board.
Swansea University's chief operating officer Andrew Rhodes said it had decided against setting up an in-house testing service after a meeting with Swansea Bay University Health Board.
"They were clear they would absolutely not support the university running their own testing programme, which is why we're not," he said.
"They were clear the tests would not have been part of the test, trace, protect system."
It does start to look like UCU haven't spoken to universities or the health boards. DH university just over the border is doing mainly on-line teaching till January - where they can.