Trying to remember - hmm, I'd say 2-4 weeks. I am a side sleeper and by the second day was able to sleep in my bed propped with pillows without the port incision bothering me...
I just seem to notice the tenderness in the side with my port when I am doing things like picking up trash that I missed getting into my trashcan or tying my sneakers in the morning when I get ready to go for my walk.