Toney, who made just one fleeting appearance to earn his first GB cap, has received offers from Everton as well as a Finnish team for next season but confirmed he will not return to Newcastle.
No timetable has yet been put on the arrival of Andy Betts and Pops Mensah Bonsu but Rob Archibald is likely to get limited minutes this week as he battles back to fitness following hernia surgery.
However Finch has warned that no-one will earn automatic playing time.
"There seems to be an assumption that all these guys are going to walk back into the programme - and the likes of Joel, Dan and Nick are going to lose their spot," the GB head coach underlined.
"We will have some guys who get healthy, but some of these other lads have really stepped up. We have a good team with good chemistry and guys are going to have to earn everything they get. No matter who comes back these players have earned the opportunity to play and they will get that."