The former international midfielder believes the Liverpool star can find his club form for Uruguay this summer and thinks la Celeste has what it takes to cause some upsets.
Poyet won 26 caps for la Celeste, helping them to a Copa America title in 1995, and is now manager of Premier League club Sunderland.
He has tipped Suarez, who has scored 29 goals in 27 Premier League appearances this season, to play a starring role at the World Cup.
"Suarez is a player that you don't want to play against," Poyet told Radio Yorkshire. "He's a player that if you want to buy one player now in England… you would probably want to buy him because you know that he is going to give you something extra."
Uruguay finished fourth at World Cup 2010 before going on to win the 2011 Copa America, but had to come through a playoff with Jordan to earn their place at Brazil 2014, and Poyet believes the unity of the squad will come to the fore when spending an extended period of time together.
"I think before these kinds of competitions - World Cup, Copa America, Confederations Cup - the team gets together and the group really click together and we become very difficult to play against," Poyet continued. "And of course, having the main players available, Luis Suarez, [Edinson] Cavani, even Diego Forlan is going to be there.
"To be in that possibility to go and create something is special… we will be a difficult team to play against."
Uruguay will face Costa Rica, England and Italy in Group D in Brazil.