Selection table for Linear Regulator ICs Search Table on AD website doesn't have Soft Start option as a search parameter.
Because of that please advise 2.5V fixed voltage LDO with soft-start and with at least Iout=250mA with Vin=3.3V.
a good way to find that function is to use ADIsimPower
Enter your design parameter (for example I would like to know what your input voltage is) and the tool will give you a list of the available parts. You can select Adjustable soft start from the advanced features list.
Currently the following LDOs would be a good option.