Solanke suffered an ankle injury during his Tottenham debut in their 1-1 draw at Leicester on Monday.
Tottenham boss Ange Postecoglou has confirmed the £65 million ($85 million) signing from Bournemouth will not face Everton and could be a doubt for the trip to Newcastle on September 1.
"Yeah, Dom picked up a knock in the last game. He got through the game but it flared up the day after. He will miss tomorrow," Postecoglou told reporters on Friday.
"It's an ankle injury. He copped it really early on, someone went across his ankle. He's definitely out tomorrow.
"It just depends on the recovery. Obviously next week we've got the international break but it's not serious, we know that, just an ankle injury."
Germany forward Timo Werner and Brazilian striker Richarlison are among the candidates to replace Solanke after both started the Leicester match on the bench.
Postecoglou could also play Son Heung-min or Dejan Kulusevski in the central striker's role.
Another dilemma for the Australian is who replaces Rodrigo Bentancur in midfielder with the Uruguayan sidelined due to concussion protocols after his head injury at Leicester.
"Irrespective of concussion protocols, any head injury we are always going to be more conservative," Postecoglou said.
"Good thing is he has bounced back really well. He has done all the tests and he feels good.
"We will take our time with Rodrigo and make sure he is absolutely 100 per cent before we put him out there again."
Yves Bissouma could fill in for Bentancur after Postecoglou revealed the Mali midfielder is available following his suspension for posting a social media video that showed him inhaling nitrous oxide.
However, Postecoglou was furious with Bissouma for the laughing gas incident and stopped short of confirming if he would pick the former Brighton star this weekend.
"Biss is available for selection, the bridge-building continues. We have got some options there. I guess the whole idea of trying to bulk up the squad this off season was about these kinds of scenarios," he said.
"Unfortunate for Rodrigo because he had a good game on Monday. Biss is available, but we have got some midfield options."
