On Wednesday, Saudi Arabia face Uruguay in the second game of the group stage.
Saudi Arabia gave a far better performance than they produced in their 5-0 loss to the hosts but a poor mistake from replacement goalkeeper Mohammed Al Owais handed the South Americans the victor in Rostov-on-Don on Wednesday.
Depending on the result of their last group game against Russia, Uruguay will take on either Spain, Portugal or Iran, who are still on course in Group B for a place in the quarter-finals.
But Group A favourites Uruguay are still widely expected to clobber Saudi Arabia, the second-lowest World Cup team in the Federation Internationale de Football Association rankings at No. 67.
Suarez, who was kicked out of the last World Cup for biting an opponent during a match, knocked in a corner kick from Carlos Sanchez in the 23rd minute for his 52nd goal for his country in that century of matches.
In truth, it was another stuttering display from Oscar Tabarez's Uruguay team.
Among the challenges facing Saudi Arabia will be how to contain Luis Suarez, but Al-Jassim does not want to obsess over the influential Uruguay striker.
Saudi Arabia have conceded 14 headed goals at the World Cup and it could have been 15, Martin Caceres heading over in the 68th minute from another Sanchez delivery.
Saudi Arabia coach Juan Antonio Pizzi said he was not ready to quit despite the early exit and 5-0 opening loss to Russian Federation.
Hatan Bahbri forced Uruguay keeper Fernando Muslera to tap his 26th minute shot in the over the bar and had another chance three minutes later. With the "Fubo Premier" bundle, you will get access to all four of the World Cup soccer TV channels in most markets. If Uruguay wins today then they move on and Saudi Arabia is out.
"There is no doubt that facing the Uruguayan team is hard and that it is known for its global stars, but we are determined to improve our image from the previous match and the joy of the Saudi fans", said Saudi Arabia midfielder Taisir Al-Jassim.