Actually Fragmatic is correct, increasing the line size increases the pressure available to the membrane. It has to do with resistance to flow and the C factor of the tubing or pipe. Velocity and pressure are two entirely different things. Velocity kills pressure, when we design a water system we keep the velocity down to like 3 to 5 feet per second for that reason.
Here is an exercise where you can calculate the pressure at the end of a line based on line size, pressure at the starting point and the velocity. Velocity and friction loss cause dramatic drops.
Lesson 4: Dynamic Pressure (Hazen-Williams Formula)
And here is the Darcy-Weisbach formula or equation for calculating it:
Darcy?Weisbach equation - Wikipedia, the free encyclopedia
You always want to upsize a line if pressure drop is a problem. Most if not all pump manufacturers recommend stepping pipe and fittings up a size or two if your line will be longer than normal.