The Blues face a reunion with the former Liverpool and Barcelona striker on Tuesday night when they travel to face LaLiga leaders Atletico Madrid in the first leg of their Champions League last-16 tie on neutral territory in the Romanian capital of Bucharest.
“There was a possibility, we heard rumours he was about to leave Barcelona,” Tuchel said of previously attempting to lure Suarez to PSG.
“Who cannot be interested in one of the best strikers in history and present world football? We tried our luck.”
Asked if he was still interested in signing Suarez after joining Chelsea, the German added: “I don’t know. It was a moment. I think he’s under contract and it’s not worth thinking about.”