At the lower end (grip) of pen outer tubes replaced by collapsible plastic/rubber.
The upper end (back) of inner tube holes are provided
A valve/ movable part is inside the inner tube as shown, it also has a point of attachment of refill.
Between the two tube a liquid is filled.
When the pen is gripped for writing Grip is pushed inside so liquid moves inside the inner tube through hole , this pushes the valve forward along with refill
The pen will not need spring when the plastic of grip is hard enough to provide suction.