6:30 PM PT — The first sign of Travis Kelce in Australia has surfaced, and the dude looks … well, beat.

Here’s a shot of the tight end arriving in Sydney Wednesday (or Thursday on his time), and yes … the dude was pretty straight-faced and serious as he got off his private jet. Ya gotta imagine he’s stoked to be there for Taylor Swift … but yeah, that was a long ass flight.

2:58 PM PT — Travis Kelce has officially touched down in Australia, hopping off his private jet just minutes ago.

Travis Kelce is on his way to see his girlfriend, Taylor Swift, in Australia — in fact, he’s currently en route … and he’ll be landing there bright and early, TMZ has learned.

Sources with direct knowledge tell us Travis is, in fact, aboard a private jet at the moment that’s on its way to Sydney right now … and it looks like he’s taking a similar flight path that she did when she left Vegas after the Super Bowl to get back to work in Melbourne.

We know Travis went from Los Angeles to Hawaii overnight — where he landed for a pit stop — and then continued on his journey very early this AM … and is up in the air as we speak.

Our sources tell us Travis grabbed dinner in L.A. Tuesday evening before jumping on a plane around 9 PM and jetting on over to the islands. We’re told he chowed down at Nobu Malibu — and seems to have laid relatively low, ’cause there aren’t many eyewitness sightings.