Craig, played by Colson Smith, disappears after killer Karl Munro (John Michie) realises that he has information which could expose his guilt over the Rovers Return fire, according to the Daily Star.
A panicking Karl initially tries to befriend Craig in a bid to make sure that he keeps quiet.
However, when Craig goes missing and a frantic search gets under way, it's thought that Karl will be among those questioned by the police.
A Coronation Street source told the newspaper: "Has Craig run away, or has Karl decided to get him under control once and for all? Keep watching - this storyline is a corker."
Craig's recent strange behaviour in relation to the Rovers blaze has left fans wondering whether he knows Karl is the arsonist.
Show boss Stuart Blackburn told Digital Spy this week: "Craig is very, very troubled. He has a certain perspective about the fire, I'll say that much! There's a secret that he's been carrying since that night, and it's a secret that will have a great deal of impact on both his life and Karl's."
Karl started the fire at The Rovers in March as part of his desperate schemes to win back Stella Price. Sunita Alahan and firefighter Toni Griffiths died as a result of the terrifying incident.
John Michie, who plays Karl, will be leaving Coronation Street later this year and joining the cast of BBC One's Holby City.
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