Reports have claimed that the Malaysian owners, who changed the Championship outfit's traditional blue kit to red to make themselves known in the Asian market, are considering renaming the club Cardiff Dragons.
"We will think about it when we know the final result of this season," BBC Sport quotes Tan as saying. "Then we will think what's the best way to brand it.
"We haven't discussed this. I've not really thought about this in detail. But when we get there we'll make a decision. And when we make a decision we will convey it to everyone."
Cardiff are currently at the top of the league table with an eight-point lead.