The bilayer ruthenate Sr3Ru2O7 is the first material found to have a quantum critical end-point and is believed to display ¿nematic electronic order¿. We have previously studied the spin dynamics of this system near the quantum critical point (with a magnetic field applied perpendicular to the RuO2 planes) and have observed a strong field-induced wavevector anisotropy in the magnetic response that could be key to understanding the new nematic (anisotropic) phase. In this experiment we propose to study the spin fluctuations in Sr3Ru2O7 with the field applied parallel to the RuO2 planes. Special attention will be paid to the appearance of anisotropic behaviour as a function of field and the relative intensities of the spin fluctuations as a function of energy transfer when approaching the metamagnetic transition.