Suarez should have fired Uruguay in front at the midway point of the first half, but, when the ball dropped his way from a corner, he screwed a close-range effort into the side-netting.
Uruguay were disappointing and the relief was evident when Jimenez headed home Carlos Sanchez's free-kick as the match moved towards the 90th minute. "I assure you 100% that he will be with us tomorrow, barring unforeseen circumstances", Cuper told journalists.
Egypt certainly missed Salah's presence on the pitch and BBC commentator and Sportsmail columnist Martin Keown admitted it was a odd decision from Cuper not to bring him on.
Russian Federation put five past Saudi Arabia, who are probably the worst team I've ever seen play in an worldwide tournament, and really aren't up to much.
Where is the World Cup Egypt vs Uruguay match?
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Much of the pre-match focus has been on the fitness of Egypt star Mohamed Salah - but Uruguay will have their own superstar striker aiming to impress.
"We wanted to avoid risks in this match [with Salah], but I think he will be fine for the next game [against Russia]".
Egypt's Group A schedule kicks off on June 15 against Uruguay, followed by Russian Federation on June 19 and Saudi Arabia on June 25.
Today's game will see the 71-year-old take charge of the famously tournament-tough South American side at his fourth World Cup finals, the first being back in 1990.
Cuper is known to be a conservative manager, but he may need to crank up the offense if Suarez and Cavani catch them early. It was the first time Uruguay won its opening match at the tournament since 1970, when it went on to reach the semifinals.
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Uruguay were also restricted to tame efforts, creating a solitary goal-scoring chance which was somehow wasted by Luis Suarez after 24 minutes.
They were impressive at the 2010 World Cup, where they finished fourth.
Egypt is a slight favorite to go through as runners-up to Uruguay and in front of Russian Federation and Saudi Arabia, but it still won't be easy.
Cuper shrugged off any doubts over whether Salah, who turns 26 on the day of the match, would feel sufficiently confident of his physical state to be able to perform at his best.
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