Rare-earth ions in crystals are useful in precision measurements and quantum information science because of their exceptional optical and spin coherence properties. We show that the nuclear spin coherence time of ${}^{153}{Eu}^{3+}$ ions doped into yttrium orthosilicate can be significantly enhanced by driving the environmental nuclear spins in the host crystal. This method of enhancing the spin coherence time can lead to improved precision measurements using rare-earth-doped crystals.