Security blanket

So every night I put my baby down to sleep in her crib, she wakes up about 45 min later each night, i go in there and give her this super thin blanket and put her binky back in her mouth and she goes right back to sleep. When i go to bed I try and take the blanket and she immediately wakes up, the other night my husband went to bed after me and I told him to take it off her when he came to bed, he forgot and I checked the monitor around 2 and she was still sleeping, she clearly sleeps so good with this blanket. Its super thin, but I'm so scared to let her have it all night.. Does anyone let their baby use a blanket all night? I'll attach a picture for reference.