But Flynn warned there was “no shortcut” to achieving independence.
“One by one, we must persuade our families, our friends, our neighbours, of our cause. One by one, step by step,” he said.
“It takes effort, it takes patient persuasion, it takes hard graft, but we can see that it is working and it is precisely because it is working that the period ahead will be the greatest challenge our movement has ever faced.
“With the weight of Scottish public opinion moving to our cause, we will see that final lap through together – for Scotland.”
Swinney will bring the SNP’s three-day conference to a close with a keynote speech to delegates on Saturday.
He is expected to promote his renewed push for independence, having said he wants to hold a second independence referendum by 2031.
The Supreme Court has ruled that the Scottish government is unable to do so without the consent of Westminster.
