PSR J1738+0333 is a 5.85-ms pulsar in a binary system with an orbital period of 8.5 hours and a companion white dwarf (WD) with a mass of about 0.2 solar masses. ... However, there seem to be small dispersive delays near superior conjunction. ... Knowing the component masses, we can predict, assuming the validity of general relativity (GR), a few other relativistic effects, like the Shapiro delay or the rate of orbital decay due to the emission of gravitational waves. ... These would be: . ...