Fr Thomas Byles refused at least two opportunities to escape the ship on a lifeboat when passengers were being evacuated, saying they were for other people.
He went right to the bottom of the ship and helped people get to the top so they could escape, and prayed with numerous people who were stranded on the ship alongside him.
It's claimed he could be heard praying with them on the deck as the ship sunk beneath the water.
Fr Graham Smith, who's spearheading the campaigning, told Premier: "I think it's highlight likely [he'll be recognised as a saint]... For someone to perform an extreme act of charity like that he would've had to have lived a holy life for his whole life.
"He was a man of heroic virtue, a man who gave his life so that others might live. That is what our Lord asks of us: that we should love as He loved.
Father Thomas Byles was somebody who clearly heard that message, that we should also give our lives for others, and that he did in an extraordinary way on the Titanic.
"We should be lifting these people up as examples to others.
Fr Thomas Byles was born in Leeds in 1870, and was ordained as a Catholic priest in Rome. He ministered in Rome, before moving to Essex to serve there.
At, St Helen's Church in Ongar, Essex, he was asked by his brother to officiate his wedding in New York. The church did a collection to pay for him to go on the Titanic, however he approximately 1500 others never returned home.
Listen to Fr Graham Smith speaking to Premier's Aaron James:
