Can I use a power supply that supply slightly higher current than the rated current from my dc motor?
No. Neither is good for a 0.9A motor. Keep in mind, not only is the inrush current a concern, you also need to worry about stalll current. A motor under load can require more current, while a stalled motor could take up to twice the rated current, as arule of thumb. You want a supply that's at least 1.5x to 2x the stated current. So 1.5 to 2 Amp supply. Otherwise you risk damaging the supply.