In this study, the crystallographic texture variation of electron beam welded dissimilar copper to 304L stainless-steel joints was investigated using Time-of-flight neutron diffraction measurements. The effect of beam oscillation by changing its oscillation diameter on texture orientation variation was evaluated. Neutron diffraction measurements were performed using General Materials Diffractometer beamline at Rutherford Appleton Laboratory neutron radiation source. Phase fractions and variations of crystallographic texture in terms of pole figures and inverse pole figures were obtained. The stronger texture we found in all regions of the joints i.e. heat-affected zone and fusion zone for oscillating beam compared to its non-oscillating counterparts. Also, by increasing the oscillation diameter, from its optimum value, a weaker texture was found, which had a detrimental effect on mechanical properties. Electron-backscatter diffraction texture measurements were also performed to compare and complement the results obtained from neutron texture.