Stones has handed in a transfer request to force through a transfer to the Premier League champions.
Everton want around £40million for the player, although Chelsea are set to offer £35m just days before the transfer deadline.
And former Liverpool player Adam believes the move will go through.
“It was inevitable, if he wants it to happen, it’s the next stage,” Adam told talkSPORT.
“He’s played 50 games for Everton but you don’t get Chelsea coming to your door very often. He wants to play at the top level and in the Champions League.
“Everton’s a good club, with great fans and Bill [Kenwright] has done a great job, but it’s an impossible job not to turn Chelsea down.
“When Chelsea come for him again, it’ll probably happen within the next week.”
The Blues are considered suitors of Belgium international Witsel, who wants to quite Zenit St Petersburg.
But the winger insists he is keen on playing for Juventus, who will likely make a late bid for the player.
“I don’t have any intention of renewing my contract with Zenit because I want to have an experience in Italy,” Corriere dello Sport report Witsel as telling his representatives.
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