The phrase "sleepy state" refers to a feeling of being tired and ready to sleep. It means someone is in a relaxed condition and may soon fall asleep. Full definition
The usually sleepy states of Alabama, Louisiana and Mississippi are seeing their fair share of retail development. (nreionline.com)
Because of the facial palsy and temporary nerve damage, his small size and very sleepy state, we both knew that breastfeeding exclusively was not an option at that moment. (themilkmeg.com)
The governor began undermining Schneiderman upon taking office in 2011, when he birthed the Department of Financial Services by merging two hitherto sleepy state regulators and created a competitor cop on the Wall Street beat. (politico.com)