Byrne picked up an ankle injury against Perpignan two weeks ago, but said sitting out the Leicester game was little more than precautionary after failing a fitness test.
He fully expects to be available for selection when the Welsh open their Six Nations title defence at Murrayfield on Saturday week.
The fullback who has won 20 caps for his country (wearing Adidas predator powerswerve rugby boots) went on to add.
“I’ve no concerns, none at all, about the Scotland game,” he said.
“I am getting there now. I’ve been icing it up and done a bit of rehab work, and it is feeling much better.
“I had a fitness test last Thursday, and there was a little bit of a reaction on the Friday, so I had to use my head and pull out.”
Byrne has been tipped to represent the British and Irish Lions in South Africa this year but the 28-year-old refuses to look beyond the Six Nations.
“It is always nice to receive good press, but I just want to concentrate on playing well,” he added.
“I think the Lions crosses everyone’s mind who wants to be on that tour, but I am really focused on playing in this Six Nations and then for the Ospreys in the Heineken Cup.
“Every player wants to be playing well at the moment.
“This is really the time when you want to be showing the (Lions) coaches that you are good enough to go. I want to get better as a player.
“I definitely know there is more to come, and if I can take all the information that I am receiving from my coaches, it will make me a better player.”
And Byrne believes the Welsh have what it takes to justify their favourite tag and win back-to-back titles for the first time, despite away games in Scotland, France and Italy.
“After the autumn series, there is nobody we can fear, really,” he continued.
“The way we finished the autumn, I think we can take that spirit into the Six Nations and push on again. Everyone is looking forward to playing again, and hopefully we can do really well.
“Going into last year’s Six Nations, we weren’t favourites and didn’t have that tag put on us. Leading up to this one, we now have that label.
“But we’ve got to deal with it, show why we are the favourites and play some rugby.
“We know every game is going to be hard. We’ve got to keep to our game plan, and hopefully we can beat anyone on our day.”