The striker and Egyptian superstar, who is nursing an injured shoulder, is crucial to the north African side's hopes of making it out of a weak-looking Group A also featuring the hosts and Saudi Arabia.
In quotes reported on fifa.com, Cuper said: "Mo Salah is an extremely important player for us, nobody can deny that, but you need to have a good team, and we have a good team".
The hopes of a nation rest on Salah, who scored the penalty which secured Egypt's first World Cup appearance since 1990.
Salah was outstanding as he helped propel Liverpool to the Champions League final.
Egypt talisman Mohamed Salah looks set to play in the country's first World Cup match in 28 years.
Suarez was immobile for large parts of the game had three glorious opportunities, hitting the side netting in the first half and failing to beat Egypt goalkeeper Mohamed El-Shenawy twice in the second from close range.
"We can confirm that 32,278 tickets have been allocated for the match between Egypt and Uruguay in Yekaterinburg".
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"Salah is doing very well indeed, he's recovered very quickly", Cuper told reporters at his pre-match press conference.
Cavani and Suarez didn't receive the support they needed and at times dropped back to midfield as playmakers, not a role for a duo that has combined for 93 global goals.
Egypt play Uruguay - tipped by some to be dark horses - in Yekaterinburg in just the second game of the tournament, following Russian Federation against Saudi Arabia in the opening match. Perhaps Cuper was conserving Salah for Egypt's remaining two games, but the Argentinian could have risked him.
It is hard to overstate Salah's importance to this Egypt side, and his likely availability for next week's pivotal meeting with Russian Federation will make a huge difference.
"It's obviously the tougher game of the group stage, so looking at the games with Russian Federation and Saudi Arabia, those are the games where you expect Salah to come back in and perform the way we know he can perform". Uruguay is an outside contender for World Cup champion and will want to make a statement here.
Egypt are still winless at the World Cup finals, failing to win five matches (D2 L3).
Cavani and Salah meet at the end of the game.