As Bianchigirll said, it should be fine as long as the rim sizes match. Check what the 'ERD' (Effective Rim Diameter) is on both. If they're close then check the spokes on your current rim and see how far the threads go into the nipples and estimate how they'll look when using the new rim with its slightly different ERD.

When I replace a rim, I tape the new rim alongside the existing wheel and then move the spokes over individually. That way the spokes stay in the same orientation in the hub and shouldn't have any unnecessary stress. Decent quality spokes should outlast several rims unless they've been damaged.