Knitters: If I used a heavier weighted yarn, do I need to adjust me needle size to keep the work the same size?

I’m knitting a hat and the pattern calls for DK but when I made it before I used chunky. Problem is, I made it about 3 years ago and cannot remember which sized needles I used.

Even looking through my needles I don’t seem to have any the right size/length.

The pattern calls for 4.5mm (size 7) 40cm circulars and 4.5mm double points. The largest double points I have are 3¼mm.

So if I am using a heavier wool, do I need to compensate with my needle size or will it just knit up thicker?