But he will still be wary when facing the Uruguayan in their FA Cup clash.
Shawcross said: "Suarez is a top player and lots of top players in all the leagues go down quite easily.
"If you're stupid enough to stick your leg out then they'll go over it. So you have to be a bit more cute.
"I don't think Suarez does go down particularly easily. And no one mentions the number of times he gets kicked and stays on his feet."