2g per kilo of weight is the figure you should aim for.
Don't increase your intake as you said though, because put it this way....
You find it hard to consume those extra calories you need, but yet instead of trying to eat another meal of chicken, you should be eating another meal of complex carbs instead.
Extra protein won't help you, it's extra carbs that will, so instead of wasting that space you have to fit more food in, make it worth it.