Actually, it does state it. Perhaps you need to take a look at the original Greek in order to see it:
ὃς ἐν μορφῇ Θεοῦ ὑπάρχων
literally, it’s “who, in [the] form [of] God subsisting”.
The word “subsisting” is what you want to pay attention to, here. To say that Jesus “subsists in the form of God” is what gives it away. His existence is God’s existence, according to Paul here. And, of course, you’ve got the fact that Paul is talking about form, rather than spirit or body.
This statement doesn’t “hint” at Jesus being God – it literally screams it from the rooftops!