A gas turbine engine bearing cage assembly includes: a first bearing cage having: an annular first bearing support ring; an annular first mounting flange; and an annular array of axially-extending first spring arms interconnecting the first bearing support ring and the first mounting flange, the first spring arms defining an outer diameter; and a second bearing cage having: an annular second bearing support ring; an annular second mounting ring, the second mounting ring defining an inner diameter greater that the outer diameter; and an annular array of axially-extending second spring arms interconnecting the second bearing support ring and the second mounting ring, the second spring arms defining spaces therebetween. The bearing cages are sized such that the first bearing cage can be received within the second bearing cage. The spaces are positioned to receive the first spring arms, permitting independent flexing motion of the first and second spring arms.