Breathlessness @ 37 weeks

Im currently 37 weeks and want to start walking more whenever i could since im already on hospital leave to rest but theres nothing much to do at home. Altho they say to start walking more, which ive tried, i cant help but to be soo breathless every few steps ? I wasnt like this a week before bt now at 37 weeks, even walking a few mins makes me breathless and need to sit for a while before continuing to walk. I believe this is normal ? I thought i wouldnt experience this breathlessness since i was fine the week before i was able to really walk long distance w/o a problem. but i guess its almost the last lap and my stomach is huge and heavy. Im scared if i dont walk much ill have longer labour and really hoping to not go overdue and get induced #FTM