  The hard X-ray source SAX J0635+0533 shows pulsations at a period of 33.8 ms
and is thought to be associated with a bright Be star. We here report on radio
observations towards this source with the VLA and Arecibo radiotelescopes. With
the VLA we do not detect any radio flux at the Be-star position, but one 4.7
mJy (at a radio frequency of 1.4 GHz) source lies just on the border of the
30'' X-ray error circle. Periodicity searches at 430 MHz performed with the
Arecibo telescope failed to detect any pulsation. We argue that the 4.7 mJy
source is not the radio counterpart of SAX J0635+0533. Most likely SAX
J0635+0533 is a rather ``non-standard'' Be-star/neutron-star X-ray binary
pulsar, probably with a relatively short orbital period. It could still be a
radio emitting pulsar but with an emission beam not pointing toward the Earth.
