38 weeks + hand expressing for colostrum

so....i'm not going crazy at trying to naturally induce yet...but my 2 year old got strep...unfortunately the kind that comes with the fever rash, poor guy. So while he is in antibiotics and whatnot I started trying to hand express some colostrum thinking it might help him recover sooner. He hasn't had my milk since he was 8 months but I figured I'd just mix it into his Apple sauce or what not and hope for the best. I'm doing this about 2x a day and I'll sit and hand express for maybe 15-20 mins and get about 5ml...which I know isnt tons but hey. Any other moms hand expressing? do you think that this alone could stimulate labor, if be happy to have baby boy #2 any day!