The multiexponential T2 of water in biological tissue is known to reflect microscopic anatomical compartmentation. T2-T2 correlation relaxometry allows characterizing compartmental sizes, intrinsic T2 values and exchange rates, which are of upmost clinical relevance. However, inversion of relaxation data into T2 spectra is an ill-posed problem. Regularized Inverse Laplace transform (rILT) provides stable solutions, but these are penalized by low spectral resolution and relatively high computational complexity. Here we do T2-T2 relaxometry of a urea solution and show that, for such bi-compartment system, non-linear least squares fitting provides solutions that are more accurate while avoiding the difficulties related to rILT.