Somebody has just mentioned a problem. Could be about the political situation, the weather forecast for the picnic, the freckle that might be melanoma, the poor grammar in a business report. Anything!
You have the same opinion or worries, and you want to say this in reply. So, "Yes, I was a bit concerned about it myself!" If the problem is very much in the present, say, "I am a bit concerned about it myself."
It means, I am also a little worried.
Example dialogue:
"You went to Ecuador for your holiday, didn't you?"
"Yes, I did. And there was an earthquake!"
"That's why I'm asking. I was a bit concerned about your safety."
"Ha! I was a bit concerned about it myself! Actually, VERY concerned! But here I am! Alive!"