Sheridan helped Toulon to a 24-12 victory over Saracens in Sunday's Heineken Cup semi-final at Twickenham and then distanced himself from selection when the Lions' squad is announced on Tuesday.
The 33-year-old, who won the last of his 40 England caps at the 2011 World Cup, is viewed as an outside bet to be included in the touring party, even though Toulon's Top 14 schedule counts against him.
"I wish everyone the best but those days are behind me. I'm very happy in the south of France," he told talkSPORT. "It was a great honour to play for the Lions in 2005 and 2009 and I wish them all the best, but my ambitions lie in Toulon.
"Maybe some people will think that isn't being ambitious, but I've had my time and I'm enjoying it in Toulon.
"There isn't much substance behind the suggestion I might be picked - it's just talk."
Jonny Wilkinson steered Toulon into their first Heineken Cup final, against Clermont Auvergne at the Aviva Stadium on May 18, with seven penalties and a drop-goal.
It was a man-of-the-match performance that slashed Wilkinson's own odds of being picked for a third Lions tour, but Sheridan hints that the team-mates share a similar outlook.
"Jonny practises relentlessly and he always has done for as long as I've known him," he said.
"Quite often when I'm driving away from the ground, there he is practising away. And he does it so that he can deliver the goods in these critical matches.
"You'd have to ask Jonny about the Lions. He's very happy like we all are down in the south of France.
"Toulon is a great place to live with great supporters and a great way of life.
"We work hard and it's bit of a misconception that we go around like a bunch of prima donnas.
"There is no fact to that. People just like to throw out these types of statements. We work hard and enjoy it down there, but we want success as well."