Lord Tu'ilakepa and Tevita Lavema'au moved that the house send 'Akilisi Pohiva for an assessment, and that a report on his health be sent back to parliament.
They also pushed for their no-confidence motion against Mr Pohiva to be heard yesterday, parliament's final sitting day.
The Speaker did not respond to the requests.
The opposition - which largely consists of nobles - has repeatedly tried to have Mr Pohiva ousted, despite him voters returning him to power last year with an increased majority.
