But the Toulon prop does not expect to get a third call-up due to his involvement in France.
"The Lions is not on the agenda," Sheridan told the Telegraph.
"You have your time on the international front and you move on. There's no point stewing over it. Even if I hadn't come here, there was a sense that England wanted to look to the future, and rightly so.
"It was a great honour, too, to go on two Lions tours [2005 and 2009] but those days are behind me. I really hope they go well in Australia but it's something that I'll not be part of."
Toulon have a host of British stars within their ranks but they are on course to reach the Top14 final, which clashes with the Lions first match against the Barbarians on June 1.