In Larry Niven's Known Space universe, stepping discs teleport matter from a sending disc to a receiving disc. Teleportation occurs at the speed of light. The sending and receiving discs must have similar velocity vectors or the object transferred will experience the kinetic energy change as a temperature difference. Stepping discs can compensate for small velocity differences without heating the teleported object. We know from The Ringworld Throne that a stepping disc can also pass coherent radiation such as a laser beam.
In the same universe, stasis fields are regions of retarded time. Time passes within the field thousands or even billions of times slower than outside, depending on the field.
Since we don't know how stepping discs or stasis fields work, we have no way of knowing if they would work together. Has an operating stasis field ever been teleported by a stepping disc? A citation from any of the published Known Space works would be an acceptable basis for an answer, including the somewhat apocryphal Man-Kzin Wars stories.