Arsenal boss Mikel Arteta expects more new additions in the coming days.
Arteta saw Nuno Tavares score on debut in Saturday's friendly draw at Rangers.
Anderlecht's Albert Sambi Lokonga's £18m transfer is expected to be completed at the start of next week, while there is also an agreement in principle to sign Brighton defender Ben White.
Arsenal had earmarked White as their top transfer priority and finally struck a deal in the region of £50m.
He will now complete a medical upon his return from holiday and speaking after the draw with Rangers, Arteta has suggested that could come soon.
Asked about their objectives in the USA, he said:" Now a little bit of recovery. We trained really hard, played two games, and now we're going to be travelling to America in the next week.
“We didn't have any injuries which is really positive in the first week. We're going to have some new faces arriving probably, so very positive."
