The Dodgers have made the Tampa Bay Rays aware of their interest in David Price, according to a person familiar with the situation who spoke on the condition of anonymity.

Although the Dodgers don’t plan to aggressively pursue Price, they told the Rays to keep them in mind if Tampa Bay intends to trade the 2012 Cy Young Award winner.

A trade for Price is probably be a long shot for the Dodgers, who are short on top-tier prospects they could offer in exchange for Price. The two players in their system who might have the highest ceilings are teenagers: infielder Corey Seager, 19, and left-hander Julio Urias, 17.

Furthermore, trading their top prospects would go against the organization’s frequently stated ambition of rebuilding a farm system that was depleted under former owner Frank McCourt.

If the Dodgers somehow obtain Price, their rotation would easily rank as the best in baseball, as it already includes Clayton Kershaw, Zack Greinke and Hyun-Jin Ryu.