That depends on what kind of pump you have.
The "degassing" problem stems from the fact that the solubility of air in mixtures of polar organic solvents + water is less that the average of the solubilities in the starting solvents. Therefore, when you mix methanol (for example) and water, the mixture is supersaturated with air, and the excess air "precipitates" as bubbles. If this happens upstream of the pump (as it would in a "low-pressure-mixing" system), then the bubbles can interfere with pump operation. If it happens downstream of the pump (as it would in a "high-pressure-mixing" system), then the bubbles can show up as spikes on the baseline.
So, if you are using a high-pressure mixing system, and you don't mind the spikes, then you can get by without degassing.