drowsing

Adjective

• half asleep
  • made drowsy by the long ride
    
  • it seemed a pity to disturb the drowsing (or dozing) professor
    
  • a tired dozy child
    
  • the nodding (or napping) grandmother in her rocking chair
    

Related words

• Synonyms: 
  drowsy , drowsing(a) , dozy