Johnson diverted the ball into his own net after 11 minutes at Anfield as he dived to try and block Charlie Adam's shot, which had been heading wide.
But he believes play should have already been stopped after a challenge with Carroll moments earlier had left him on the floor and scrambling to regain his bearings.
"I don't feel there was a push, it was an obvious push," the defender told Wolves' official website.
"I knew it when it happened and I've seen it on the video. The ref doesn't give it but there's no point arguing about it afterwards because it's done.
"It led to the goal so it's disappointing and the ref was in a good position. He said afterwards he didn't see it as a foul.
"There was a period after before the goal went in as the ball went back out and Charlie Adam beat one or two and got the shot in.
"Unfortunately it was going well wide but I put it back on target.
"I wasn't to know but I'm always going to try and get the block in and sometimes it goes for you and sometimes it doesn't."
Despite going down to a third successive defeat at Liverpool, Johnson was at least encouraged by an improved showing following the poor performance against Queens Park Rangers last time out.
"Last week we let ourselves down massively and said to each other at half-time on Saturday that we shouldn't just quit because we were 2-0 down," added Johnson.
"We wanted to show a good account of ourselves and I felt we did that.
"It's disappointing to come away with nothing but at least we had a go."