The firm is understood to have secured a major job to refit 350,000 sq ft at 10 Upper Bank Street on Canary Wharf for Deutsche Bank.
The German bank is preparing the way to move about 4,000 back office workers from five buildings in the City of London financial district to Canary Wharf.
The bank plans to start moving staff towards the end of 2016, in a move to increase efficiency.
A significant proportion will come from 6-8 Bishopsgate where the bank occupies 147,000 sq ft.
This building is due to be redeveloped by Mitsubishi Estate Company into a 40-storey tower once Deutsche’s lease expires in 2017.
Last month Overbury started an intensive seven-month job for Dutch bank ING ahead of its move to 8-10 Moorgate after signing an 18-year lease on around 130,000 sq ft.