Will these tyres fit?

in Road general
Looking at swapping out my 700x38 tyres to 700x28. The wheels I have Are dt swiss 622x22. Would the 28c tyres fit on this rim? I’ll be running tubes also if that makes any difference. I have looked on the web but I can’t find a definite answer. It’s all confusing to me but probably quite simple to any sane person out there. Cheers
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I use 700x28 tyres on DT Swiss 622x20 wheels, 2mm extra width will be fine.