English word no worries comes from Old English wrecan, Proto-Indo-European *wes-, English wreche, Old English ƿracu, Old English wrǣc, Proto-Indo-European *were-, Proto-Indo-European *werģʰ-, and later Proto-Indo-European *woséyeti (To clothe, to put clothes onto.)

Detailed word origin of no worries

Dictionary entry	Language	Definition
wrecan	Old English (ang)	To avenge a person or wrong, to take vengeance on. To drive, press. To punish a person or fault. To wreak anger.
*wes-	Proto-Indo-European (ine-pro)	fat, moisture, to dress, stab, to stick, prick, pierce, sting, moist, wet
wreche	English (eng)
ƿracu	Old English (ang)
wrǣc	Old English (ang)
*were-	Proto-Indo-European (ine-pro)
*werģʰ-	Proto-Indo-European (ine-pro)
wreken	Middle English (enm)
*woséyeti	Proto-Indo-European (ine-pro)	To clothe, to put clothes onto.
*wazōną	Proto-Germanic (gem-pro)	To continue; last. To stay; abide.
*wargaz	Proto-Germanic (gem-pro)	Outlaw, criminal.
*warjaną	Proto-Germanic (gem-pro)	To thwart, to stop. To ward off, to defend against.
*wargijaną	Proto-Germanic (gem-pro)	To curse. To fordeem; condemn.
*wazjaną	Proto-Germanic (gem-pro)	To clothe, dress.
werian	Old English (ang)	To defend, protect.
wirġean	Old English (ang)
wiergan	Old English (ang)
werian	Old English (ang)	To wear.
wrache	Middle English (enm)
werian	Old English (ang)	To defend, protect To wear.
wreck	English (eng)	(Australia) To dismantle wrecked vehicles or other objects, to reclaim any useful parts.. To destroy violently; to cause severe damage to something, to a point where it no longer works, or is useless.. To involve in a wreck; hence, to cause to suffer ruin; to balk of success, and bring disaster on.. To ruin or dilapidate. (legal) Goods, etc. cast ashore by the sea after a shipwreck.. An [...]
*wergʰ-	Proto-Indo-European (ine-pro)
*wurgijaną	Proto-Germanic (gem-pro)	To strangle.
*wrenǵʰ-	Proto-Indo-European (ine-pro)	to twist, wry, constrict, choke, thring
wyrġan	Old English (ang)
wyrgan	Old English (ang)	(clarification of this definition is being sought) to worry. To strangle, to throttle.
werȝen	Middle English (enm)
*wringaną	Proto-Germanic (gem-pro)	To squeeze, twist, wring.
wringan	Old English (ang)	To wring.
wringen	Middle English (enm)
no worries	English (eng)	(largely) (Australia, UK, New Zealand, colloquial) A general injunction not to be concerned further with a subject.. Do not worry, I will do it.. It does not bother me; I am not concerned.. It was no problem; not at all; you're welcome.

Words with the same origin as no worries