The Whites have brought in ten fresh faces after narrowly missing out on the play-offs last season.
And on Saturday, Dover thrashed Bostik Premier Division side Folkestone Invicta 5-1 with new striker Tobi Sho-Silva netting a brace.
Kane Richards, Mitch Brundle and Ryan Bird also got in on the act to leave Kinnear purring.
"Pre-season is about having a look at people, seeing how they fit in," he told the club's website.
"They're new lads, I can see what their strengths and weakness are and things are progressing.
"We're still looking to even improve what we've got. We've got great enthusiasm, great ambition with the young lads - probably looking to get a couple of more experienced players in to help them along and help the club.
"Every game we play now is a learning experience for them and for us."