Travis Kellie and Taylor Swift: A Whole Dating

It appears that Travis Kelce and Taylor Swift are truly smitten with one another.

Despite having "actually insane" schedules,

 a source exclusively tells PEOPLE that the couple is giving romance "a real try."

"She's the biggest star in the world

it's no secret dating an athlete is very tough

they've been texting and talking on the phone

 they get to spend with each other

The 34-year-old Kansas City Chiefs tight end is "still very focused"