Stephen Poloz says he doesn't think anyone should deface the currency, even though there's no law that explicitly prohibits scribbling on Canadian banknotes.
Such resistance, however, may be futile.
The death of actor Leonard Nimoy in late February inspired people to post photos on social media of $5 bills that depict the seventh prime minister as Spock, Nimoy's legendary "Star Trek" character.
The central bank says it discourages drawing on banknotes because it reduces the life span of the bills and could damage their security features.
Still, senior deputy governor Carolyn Wilkins says she doesn't think measures need to be brought in to protect the banknotes, even though a law prohibits Canadian coins from being melted down or broken.
Canadians have been sketching Spock's pointy Vulcan ears, long eyebrows and distinct bowl haircut on Laurier's likeness on the bill since long before Nimoy's death.
The pastime caught the attention of Star Trek fans around the world in the days following Nimoy's death.
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