  A defect coupling to the square of the order parameter in a nearly
quantum-critical magnet can nucleate an ordered droplet while the bulk system
is in the paramagnetic phase. We study the influence of long-range spatial
interactions of the form $r^{-(d+\sigma)}$ on the droplet formation. To this
end, we solve a Landau-Ginzburg-Wilson free energy in saddle point
approximation. The long-range interaction causes the droplet to develop an
energetically unfavorable power-law tail. However, for $\sigma>0$, the free
energy contribution of this tail is subleading in the limit of large droplets;
and the droplet formation is controlled by the defect bulk. Thus, for large
defects, long-range interactions do not hinder the formation of droplets.
