Rublev has yet to win a Grand Slam, having lost 10 times in the quarter-finals.
His first tournament with Safin will be the Monte Carlo Masters, where he faces Gael Monfils on Wednesday.
“Marat is someone that inspired me since I was a kid,” Rublev added.
“I’m just trying to listen and to try new things. We’ll see how it will work, or what it will bring, or what’s going to happen.
“I hope for a really long partnership, but it depends if he enjoys working with me or if he will suffer.
“Because if he feels I’m not listening, I don’t think he will waste his time.”
