  We investigate the influence of an infinite dimensional Gaussian noise on the
bubbling phenomenon for the stochastic harmonic map flow $u(t,\cdot
):\mathbb{D}^2\to\mathbb{S}^2$, from the two-dimensional unit disc onto the
sphere. The diffusion term is assumed to have range one pointwisely in the
tangent space $T_{u(t,x)}\mathbb{S}^2$, so that the noise preserves the
1-corotational symmetry of solutions. Under the assumption that its
space-correlation is of trace class (in some appropriate hilbert space), we
prove that the noise generates blow-up with positive probability. This scenario
happens no matter how we choose the initial data, provided it fulfills the
latter symmetry assumption.
