Despite distractions at home regarding an overhaul of clubs, Wales will play defending champions Ireland next Saturday in Cardiff for their first Grand Slam since 2012, and a first Six Nations crown since 2013.
"All the way through the tournament we have been very real about our performances, we said yesterday we hadn't fulfilled our potential and we still feel that", he said.
But they were pushed to the limit by a resilient Scotland team that dominated the second period as Wales were kept scoreless between the 30th and 79th minutes.
"It's a dream that we can fulfil and do something pretty special as a group of players", said Gatland, whose 12-year tenure will come to an end after the World Cup in Japan.
Scrum half Ali Price admits injury ravaged Scotland are vulnerable but they won't be merely making up the numbers against a fired up England.
Wales keep Grand Slam dream alive after beating Scotland in Six Nations clash
The more Wales tried to close out the game the more Scotland began to find gaps in the usually formidable Welsh defense. Jonathan Davies gave him the overlap with a forward pass that wasn't picked up until video replays, and Adams shimmied past Blair Kinghorn to score behind the posts.
Davies scored the second after a coolly composed 24-phase buildup that was reminiscent of Wales' match-turning 35-phase try against England two weeks ago.
Wales were cruising to a fourth win out of four when at halftime they led 15-6, a scoreline that flattered the Scots, who were coming off two bumbling losses to Ireland and France.
Wales fullback Liam Williams also left in the second half, right arm slung in his shirt, although Wales coach Warren Gatland later said the injury was not serious.
Scotland meanwhile face the prospect of ending a disappointing campaign with a solitary win unless they can inflict a shock defeat against England in their final fixture. Head coach Gregor Townsend has been robbed of John Barclay, WP Nel, Hamish Watson, Ryan Wilson, Finn Russell, Huw Jones and Stuart Hogg during the Six Nations and now heads to Twickenham were the Scots have not won for 36 years. Wales' renowned defense bent but didn't break, having to make 138 tackles in the second half after 66 in the first.