A well pump assembly includes rotary pump and a submersible motor. A shroud surrounds the pump intake and the motor. The shroud has an open upper end in fluid communication with the pump intake for drawing well fluid along an upper flow path down the shroud into the pump intake. A dip tube is secured to and extends downward from a junction with a lower end of the shroud. The dip tube is in fluid communication with the pump intake and has an open lower end for drawing well fluid along a lower flow path up the dip tube to the pump intake. The upper flow path has a minimum flow area that is smaller than a minimum flow area of the lower flow path. The dip tube has a smaller outer diameter than an outer diameter of the shroud.