  We report inelastic neutron scattering measurements in the hidden order state
of URu$_{2-x}$Re$_x$Si$_2$ with $x$ = 0.10. We observe that towards the
ferromagnetic quantum critical point induced by the negative chemical pressure
of Re-doping, the gapped incommensurate fluctuations are robust and comparable
in intensity to the parent material. As the Re doping moves the system toward
the quantum critical point, the commensurate spin fluctuations related to
hidden order weaken, display a shortened lifetime and slow down. Halfway to the
quantum critical point, the hidden order phase survives, albeit weakened, in
contrast to its destruction by hydrostatic pressure and by positive chemical
pressure from Rh-doping.
