We investigate the behaviour of tensor fluctuations in Loop Quantum Cosmology , focusing on a class of scaling solutions which admit a near scale-invariant scalar field power spectrum .
We obtain the spectral index of the gravitational field perturbations , and find a strong blue tilt in the power spectrum with n _ { t } \approx 2 .
The amplitude of tensor modes are , therefore , suppressed by many orders of magnitude on large scales compared to those predicted by the standard inflationary scenario where n _ { t } \approx 0 .