From the data sheet https://www.mouser.ch/datasheet/2/115/ds31854-88548.pdf:
Low On-Resistance:
• 3.0 Ω @ 4.5V
• 4.0 Ω @ 2.5V
• 6.0 Ω @1.8V
• 10 Ω @1.5V
If you need to draw the same current (which I guess from what you said is about 250mA), you have to choose a mosfet with a lower RDSon (Ohms) at 3.3volts or less.
Show your circuit diagram.