Is 5 weeks to soon to get a relaxer?

I would like to get my hair done on Sunday seeing that school is starting next week, but I am a bit weary because I got a relaxer 5 weeks ago. I went to a new hairdresser, where she gave me an Olive Oil treatment rather than my usual Affirm No-Lye relaxer. This made my hair straighter than usual, and not poofy like it normally is. I do have a bit of new growth, but not a lot. I usually get my hair relaxed about every 8-9 weeks, so is 5 weeks cutting it close?