Disclosed herein is a composition for copper bump electrodeposition including copper ions and at least one additive including a polyalkyleneimine backbone including N-hydrogen atoms, where (a) the polyalkyleneimine backbone has a mass average molecular weight Mw of from 900 g/mol to 100 000 g/mol, (b) the N-hydrogen atoms are each substituted by a C2 to C6 polyoxyalkylene group, and (c) the average number of oxyalkylene units in the polyoxyalkylene group is from more than 10 to less than 30 per N-hydrogen atoms in the polyalkyleneimine.