[bradrn]

I don’t speak Swedish, but I found a sketch grammar (Andersson’s) which says that it’s [y]. Not sure if that’s correct or not though.

[herewulf]

Unsurprisingly there's some regional variation. Wikipedia says "Central Standard Swedish /ʉː/ is near-close near-front [ʏː]." Note that [y] and [ʏː] are not the same, but very close. Fascinating!

https://en.wikipedia.org/wiki/Swedish_phonology#Vowels