A 4-1 win over Iraq, with Erling Haaland scoring twice, put Norway top of Group I ahead of France on goal difference after their first World Cup match in 28 years.
Senegal, beaten 3-1 by France, need a response at New York/New Jersey Stadium on Monday to keep their last-32 hopes from slipping into danger.
Solbakken said Norway would not be cowed by the occasion or the opponent, but warned that Senegal demanded full respect.
"I'm not afraid or anything tomorrow, but have great respect for Senegal," Solbakken told a press conference on Sunday.
"They are a fast and quality side, and we will need to be ready to face that, defending their wingers and be wary of their counters. Sadio Mane is a great player, but the most important thing for me is that we keep our identity and follow what we do best."
Norway swept through qualifying with eight wins from eight matches, scoring 37 goals, and victory would put them in contention to fight for first place in the group in a final match against France. Solbakken, however, said Norway were not interested in calculations.
"We are not doing maths or anything, we need to put in another good performance and keep improving, and think about qualification later at another point," he said.
Haaland will again carry much of Norway's attacking threat after his opening double, though Solbakken said the Manchester City forward needed the team around him to function.
"Haaland is in great shape, and let's hope there is more to come," he said. "He needs help, and I hope we can help him too with great support.
"Let's hope he continues to bring us joy through goals."
Solbakken also expressed concern about the pitch.
"We looked at the pitch, and it is a bit like artificial grass, short and hard underneath," he said. "It seems bad for teams who like to hold possession.
"Sure, if the pitch is dry, it would be a problem, but tomorrow the forecast is rain, so it should help. But we can't do anything, it is what it is."
World Cup 2026
The 2026 World Cup will be held from June 11th to July 19th in the United States, Canada and Mexico. The tournament will feature 48 national teams and will be played in 16 modern stadiums.
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