Immediately; right away; as soon as possible — an adverb indicating prompt action, often as soon as circumstances allow.
具合が悪くなったら、すぐにも病院へ行ってください。
If you feel unwell, go to the hospital immediately.
その件については、すぐにも返事をします。
I'll reply about that matter as soon as possible.
雨が降りそうだから、すぐにも出発したほうがいい。
It looks like it's going to rain, so we'd better leave right away.