Lovenox question

I’m 39 but will be 40 at the time I give birth in August. So I’m almost 16 weeks pregnant and am on Lovenox injections due to a blood clotting disorder (APS) that I found out I had after testing Bc of two miscarriages. Well my Ob told me because I’m high risk I can’t deliver past 37 weeks due to risk of still birth and preeclampsia. However I met with my hematologist yesterday and he said he doesn’t know why they’d say that, that I am perfectly fine with delivering at 40. I would think the hematologist is right. Any who’s had to be on these shots been able to deliver to term at 40 weeks?? I’m not sure if it’s because of the clotting disorder or my age. Thanks!