A superconducting glass model with unidirectional correlated disorder is studied via extensive Monte Carlo simulations in two and three dimensions. A calculation of the magnetic fluctuations shows two dissipation peaks at temperatures T₁ and T₂, with T₁<T₂<T_c. Results for the 3D phase correlation functions indicate that the T^-<T₁ phase is less ordered than the T₁<T⁺ phase. The T₁ transition is found to be due to an enhancement of short-range phase correlations, while the one at T₂ is longer ranged. The possible connection of these results to recent experiments in high-T_c oxide superconductors is discussed.