There is enormous interest and a real willingness to listen and be persuaded.
When I am having these conversations, I always make the two key arguments that, in my view, are at the heart of the case for independence.
First, that as the eighth richest country in the world, we can more than afford to be independent and, second, that it is better for decisions about Scotland to be taken here by governments accountable to us, rather than by Tory governments in Westminster that we don't vote for.
Almost every week I can identify lots of specific examples that illustrate that case and last week was no different.
Two particular developments in recent days have powerfully demonstrated the case for independence.
The first is the Scottish Government's allocation of £20m to councils across Scotland to help them assist people affected by the 'bedroom tax'.
In all, 82,000 households in Scotland - many of them with children or disabled people - are struggling with the impact of having their housing benefit cut because they are deemed to have a spare room, even although there are no smaller houses available for them to move to.
The SNP is doing everything it can to help and the extra £20m will give much needed support to some of the most vulnerable people in the country.
But if we were independent, things could be much different. We would have power to make our own decisions on social security.
We wouldn't have the bedroom tax and instead of having to find £20m to protect people against Tory policies, we could have our own welfare system and use that money much more positively.
Making our own decisions, instead of having to live with the consequences of decisions imposed on us by others, is the biggest benefit of independence.
We have proved that with our decisions in areas already devolved to the Scottish Parliament - which takes me to the second significant development of the past week.
At the weekend, the UK Health Secretary said NHS staff south of the border might lose the 1% pay rise they have been promised for next year, unless they agree to changes in their terms and conditions.
What a slap in the face to people who work so hard to keep the NHS going, in tough times and all the time.
But because health is the responsibility of Holyrood - in other words, because we are already independent when it comes to health - we can choose to do things differently.
As a former Health Secretary, I was delighted Alex Neil said NHS staff in Scotland would get their pay rise.
That's what can be done when we don't let Westminster take decisions for us.
If it works for health, it can work for welfare too. And the only way to ensure it does is to vote Yes next year.