The Swede has starred with the Hoops this season and is interesting Olympique Marseille.
"He has that goal-scoring threat which maybe no other centre-forward at the club has," Sutton told the Daily Mail.
"He can score all different types of goals. Imagine Celtic getting through to the latter stages of the Europa League and they have him to come in? That's a massive boost.
"Guidetti might have other options. But sometimes when you have it good, and I know this from my own experience, you should not underestimate that. I hope he does sign, I think on balance he will sign - he would be stupid not to."
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