Stutter om slight gas

Hi,

My car is having a small issue.
If I’m going slowly in the city or down a hill with just a bit of gas applied, it will start to stutter. It’s not speed or gear dependent, as it does it at both high and low speed. If I go off the gas or apply a bit of extra gas pedal, it runs normally again.
what should I be looking for? It accelerates normally without any stuttering, idles as it should - only issue is with gas pedal slightly applied.

Engine is a 1,8 with Pierburg (2e?) carb - I believe engine code is GU.

sounds as if the butterfly in the carb is fully closed with no pedal movement,  It may be an idle adjustment as in it thinks it is fully choked..

otherwise maybe a vacuum leak.

Terribly sorry for not having the decency to acknowledge your reply!

Would I be able to see if the butterfly is fully closed without the engine running, or should it be checked with engine running at normal temperature?

On startup it has started to keep the idle at ~1500 rpm for a few minutes, before slowly going down as it heats up - could that be related?