We investigate the possibility of observing the solar
oscillations associated with normal modes with proposed
laser interferometer space antennas. We determine under what conditions
such detectors with specific configurations
would be able to observe the fluctuations of the near-zone Newtonian
tidal gravitational field produced by the normal modes of the Sun.
For frequencies f above 3x10-4 Hz perturbations are
in the wave-zone, and the response of the interferometer could be
enhanced by a factor (2 pi R f c)2, where R is the distance to the
Sun, and c is the speed of light in vacuum. This raises
possibility of detecting gravitational waves produced by non-stationary
quadrupolar perturbations of the Sun.