We present the results of a torsion-oscillator experiment which has searched for the superfluid transition in He-4 adsorbed in chabazite. A novel non-destructive dehydration technique has been used to make the 10 Angstrom pores of the crystal accessible to He-4. No superfluid transition has been observed to within our resolution for He-4 coverages ranging from 50% of the full pore to complete saturation at temperatures above 130 mK.