Can LL4148 replace 1N4001?
For a definitive answer you should consult the datasheet of your manufacturer, but the first one I googled has this graph



The maximum average current is 200 mA, but only if you can keep the ambient temperature under 25 C.

BTW the power used by your circuit is irrelevant, only the current counts. And in this case I would not use an 4148, at least not when I am the person that gets the problem when the circuit fails.