The US evangelist spoke amid plans by Italian bishops for a new version which would read "do not abandon us to temptation" instead of "lead us not into temptation".
Speaking to Fox News Channel, the 66-year-old said: "There possibly could be a translation error with that one word. I don't know.
"I'm still going to say it the way that I memorised it as a boy, that my mother taught me.
"The pope may have a point, here. Let's see..."
Last December, Pope Francis described the current wording as "not a good translation" - arguing Satan leads people into temptation, not God.
The Italian Bishops Conference said last month that its proposed revision of the Lord's Prayer will be submitted to the Holy See for approval, according to the ANSA news agency.
Rev Graham continued: "We do recognise that there are translation errors and there are a lot of translations out there in the English language and some of them vary a little bit.
"But you have to be very, very careful and I know the Catholics have been very careful as they've studied this for 16 years."
The Catholic Church in France has already revised the Lord's Prayer.
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