The Nd0.7Ca0.3MnO3/YBa2Cu3O7 (NCMO/YBCO) bilayer is fabricated with the method of pulsed laser deposition, and the current dependent proximity effects are investigated. Our experimental data show that the suppression rate of superconducting transition temperature (Tc) with respect to the applied current (>1 mA) is enhanced by one order of magnitude in NCMO/YBCO compared with that in pure YBCO. The enhanced Tc suppression is attributed to pair breaking via the interactions with the spin-polarized quasiparticles and the magnetic exchange, in association with a current-induced melting of the charge-order state in NCMO.