Yes, the weight on wheels will decrease by the amount of lift.
The amount of lift is hard to estimate, since it's a function of airspeed and angle of attack, modified by the fact that the wing is functioning in ground effect. A back of envelope sum says that it'll reduce by something around the weight multiplied by the square root of (speed/stalling speed), but that value could be as much as 50% out and I wouldn't hang my hat on it.
G