I see what you're trying to say here. I usually take the train when commuting to work, and my work bag contains my laptop, power brick, notebook, etc. It's a quite a weight to carry around. So when I have to put it on my lap, it can be physically awkward because I'm limited in how I can place my legs while balancing this weight.

What I was trying to say with awkward, is a physical awkwardness. Though I guess when I look back at it, inconvenient or uncomfortable might have been a better choice of words. English is not my first language and I sometimes choose the wrong words :)

Anyway, I don't really care about what people think of me if I have my bag on my lap.