EA has announced that it will be skipping E3 2021 and will instead be holding EA Play Live showcase on July 22.
No details on what games they'll be showing off but my guess would be a gameplay reveal of Battlefield 6 after showing off a launch trailer at the Xbox E3 show. The Usual EA Sports title will probably make an appearance of some sort and something related to Apex Legends, maybe a tease for Season 10 or a new event.
EA tends to update their players on games they've already announced so it's a possibility that Skate 4, Star Wars Jedi: Fallen Order Squeal, New Mass Effect, and Dragon Age 4 could show up but I think it's unlikely.