Anxious parent alert! Anxiety over baby sleeping in cot!

Cat ❤👣🍼 • I'm 23 years old. Married on 5.07.14 to my soulmate. First baby Nesbitt due in November❤🍼👣👶
My baby is having his first night in cot at 10 weeks. He is just a little bit too wriggly for his moses basket and wakes himself up. The cot is in same room but I am feeling very anxious over not being able to hear him. For the last 10 weeks my husband and I have been taking turns to sleep so someone has always been with him. Anyone else the same? Am I being stupid? I'm concerned as to what he is wearing to bed too. He has a long sleeve vest and slerpsuit on and has a growbag and wee hat on.