The government's being accused of ignoring the importance of the church in people's lives by keeping places of worship closed.
Rural Independent TDs want the Taoiseach to consider allowing limited gatherings in time for Easter, with the issue set to be raised in the Dáil later.
Only private prayer's currently allowed under Level 5 restrictions.
Last month a representative group for priests said allowing mass before Easter would be premature.
Independent TD Mattie McGrath believes gatherings for religious services can be done safely: