Liberal MP Craig Laundy issued an invitation to the Palmer United Party Senator, offering a weekend visit to a mosque in his Sydney-based seat of Reid.
Appearing on Sky News on Wednesday, Senator Lambie ruled out accepting the invitation, citing religion.
"I'm a Catholic; I’m religious," she said.
"It's not my moral upbringing. I'm Australian. I simply believe in the church.
"… I wouldn’t be comfortable with that."
Her comments follow her public campaign to ban the wearing of burqas in public.
Senator Lambie called for an immediate ban on the traditional garb last month, citing security concerns.
"People can do want the want in the privacy of their own homes, but for the public safety of our children and families, remove the burqa," she said.
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