Questions & Answers about Κοιμάμαι μόλις βάζω το κεφάλι μου στο μαξιλάρι.
Here μόλις means as soon as.
That is one of its very common meanings when it introduces a clause:
- Μόλις έρθει, θα φύγουμε. = As soon as he comes, we’ll leave.
- Μόλις βάζω το κεφάλι μου στο μαξιλάρι... = As soon as I put my head on the pillow...
Be careful: μόλις can also mean just in other contexts:
- Μόλις έφτασα. = I just arrived.
So the exact meaning depends on the sentence.
Because the sentence describes a habitual / repeated situation, not one single event.
Greek often uses the present tense for things that happen regularly:
- Κοιμάμαι μόλις βάζω... = I fall asleep / I go to sleep as soon as I put...
- In natural English, we also do something similar: I fall asleep as soon as I put my head on the pillow.
So this is not really about right now. It means this is what usually happens to me.