The Celtic star has intimated that he could leave Glasgow.
Celtic have already broken their transfer record to sign Odsonne Edouard on an £8 million permanent deal, following the Frenchman's season-long loan at Parkhead from PSG last term.
As a result, at least two of Rodgers's big-name strikers will not be a first-team regular, and 27-year-old Griffiths, who started only 17 games for the Hoops in all competitions last season, suggests that he is at an age where he needs to be the first-choice hitman.
"Competition for places is always good. But we only play one upfront and as a striker you want to be selfish," he told Sky Sports. "You want that starting jersey and you want to make it your own. You just need to take your chance when you get it.
"Everybody wants to play football. But it's not only about the 11 players that start the game, it's also about the 11 players that finish.
"I'm at the time in my career where I need to be playing regular football. Hopefully when I do get that starting jersey I'll make it my own."
You can understand Griffiths's predicament, but Rodgers must find a way to keep him.
This is a player who scored 40 goals for Celtic during the 2015-16 campaign. Dembele had a phenomenal first season in Glasgow, but even he only wound up with 30.
Celtic fans would hate to lose the Scottish marksman but, given that Rodgers has spent big on Edouard, few would blame him for moving elsewhere.