And Suker believes the opening game will be the key to Croatia emulating their achievements of four years ago.
"In 1998 we beat Jamaica in the first match and everything went well from there," he said.
"Now we need another good start because you don't want to fall behind.
"We have younger players in our squad this time and a win in our first match would help our confidence."
Defender Dario Simic remains a doubt for the Mexico game due to a calf strain, although he is expected to return to training soon.
"He's getting better," Croatia coach Mirko Jozic said.
"The doctors are taking good care of him and in two or three days he will be ready to continue training with the rest of the players."
Simic has struggled with the problem since straining his calf playing for Inter Milan in April.