around the end of
Used with time periods (months, years, seasons) to indicate a rough time near the end. Often follows a noun like 今月, 来年, or 江戸時代.
I plan to move around the end of next month.
It's a book written around the end of the Edo period.
Compound of 末 (すえ, 'end') and 頃 (ごろ, 'approximate time'). The reading すえごろ is a straightforward combination.