What does it mean when a guy says he's not a chaser?

I'm currently seeing a guy who tells Me he's not a chaser.

He tells Me to text him anytime. If we can plans I always have to be The one to finalize them. He Is 24 years old and he keeps telling Me he's not a chaser, I must text him, what's this mean?
What does it mean when a guy says he's not a chaser?
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