The only way to add or remove oil from sintered bronze is with heat. If the oil is actually seeping into the bronze at room temp it's not any kind of industrial application, I've ever seen. Must be very porous or laser holes. I've made my share and repaired/replaced a lot of pocket bushing.
I remover the old and use a hand reamer after I press or drive the new one in..
Sometime I use hot water and speed.