Superconductivity at oxide interfaces has intrigued researchers for decades, yet the underlying pairing mechanism remains elusive. Here we demonstrate that proximity to a ferroelectric quantum critical point dramatically enhances interfacial superconductivity in KTaO3. By precisely tuning KTaO3 to its quantum critical composition through 0.8% niobium doping, we achieve a near-doubling of the superconducting transition temperature, reaching 2.9 K (3.0 K under electrostatic gating). Remarkably, a dome-shaped carrier density dependence emerges exclusively at the quantum critical point. Our findings establish ferroelectric quantum criticality as a powerful mechanism for enhancing superconductivity and provide strong circumstantial evidence for soft-phonon-mediated pairing in these systems.