However, Dodson admits that an agreement is still a long way off amid newspaper speculation that Johnson is looking to become a director of rugby.
"We are still talking to Scott and have been doing so pretty much since the Six Nations ended," said Dodson. "We said we would sit down at the end of the tournament and talk about the next steps and we are still doing that. The [newspaper] story is just supposition.
"I wouldn't like to be too categorical about anything because Scott and I still have a lot to talk about. The Six Nations is only just finished and this is going to take a certain amount of time to wash through. But we are very happy with what Scott and Dean did over the whole of the Six Nations period. The talks will take place and we will make an announcement in due course.
"We are looking at the whole coaching structure in Scottish rugby. We have several vacancies to fill, so what I want to do is take my time and make sure we bring in the right blend of coaches."
Prior to Johnson's coaching, Scotland finished the 2012 Six Nations with the wooden spoon after five defeats.