Yes with my 1st I had high bp too, I had it about the same time too from about 37 weeks I had to make a dayly treck into the hospital to be hooked up to the moniter for 3 hrs a day to see how baby was doing I had to take home the wee test strips to check my protein and call them morning and night after the test it was always high at night but just ok in the morning. by 38.5 weeks I was in hospital so they could check bp every hr by the 2nd night they decided to indues my baby and the rest as they say is history I had a very health baby boy. Just keep an eye out for a headache which is at the frount of your head above your eyes as this is a sign of you bp rising. I am guessing they will keep checking you try not to stress about it too much as this will just lead to high bp keep your feet up so they dont swell to much ( mind you my butt took all the swelling in the end as I was on it so much LOL) good luck you will have a happy baby very soon.....