Is my labor closer than I think?

Marina
Hello, FTM here. I am 34w and 3d. Today I went to the restroom and noticed a milky discharge on my underwear. (TMI-Sorry) I was wondering if any other moms remember having this happen and if so, does that mean labor is approaching quick? I'm having a baby shower on the 27th and I'm just hoping I can just make it till that day. :)