The England-capped striker is available on a free transfer after leaving Everton while the Hoops are looking to bolster their frontline during the summer window.
But could the 28-year-old be on Brendan Rodgers' radar?
It was a topic that came up on this morning's talkSPORT breakfast show and Ally McCoist reckons Calvert-Lewin would be a great signing for Celtic.
However, he would have concerns about his fitness.
The Rangers legend said: "Fitness. It's fitness, it's only fitness. It's fitness for me.
"You get him on the pitch, he would absolutely do well at Celtic, there's no doubt about it.
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"Pacy, good in the air, he'd score you goals. Just the question mark over fitness, that's all I've got."
Jeff Stelling had his say: "It's an absolute no-brainer. A no-brainer.
"Getting him on a free transfer, we know he can play.
"If they oculd keep him fit, I think it'd be a good move for him.
"He'd score goals there, regain his conference and wouldn't be surprised if in a couple of years time he'd be back in the Premier League."
And McCoist added: "I just want to see him fit, I want to see him play. Not too well if he goes to Celtic, on the other hand!"