According to screenwriters on the project, the scenes involving Spider-Man have already been filmed, and they were actually getting ready to watch the finished footage so they can decide what to keep and how things should be edited.
We have no idea who’s playing the role of the character, and it’s actually been implied that there might be a lot of stunt work going into his performance, as Spider-Man’s suit allows to easily conceal the identity of whoever is in there at any given time.
Because of this, the role of the character in this particular film is being kept under wraps, and it’s possible that it might not even be a major actor playing it. Although that would be quite strange in the end, and it’s likely going to be necessary to have the character on screen without his mask occasionally, which would make this a questionable idea.
Tom Holland has been the one suggested by fans the most, and its’ been reported that the actor was seen on the set of the film at some point too, so it’s starting to look more and more likely that he’ll have some presence in the new production. It could be useful for introducing his character more gently before his own separate film too.