Stones has impressed since breaking into Evertonâ€™s first team this season, after his Â£3million move from Barnsley last year.
"The one I might take a chance on, because we are so short in central defence, is Stones," said Lineker, a former Everton striker.
"I really like him. He has got a lot about him. Sometimes central defenders need a little bit more experience than other positions because of the extra discipline and the nature of that role. But is he worth a gamble? Well, if Phil Jones doesnâ€™t make it â€” what else have we got?"