The American took charge of his first Premier League game as the Swans slipped to a 3-2 defeat against Arsenal at the Emirates Stadium on Saturday.
Although encouraged by what he saw, Bradley was ultimately disappointed to leave empty handed, particularly as the Gunners had to play the last 20 minutes with 10 men.
Bradley is happy with what he has seen so far though and is hopeful better times will be on the horizon.
"Some of the moments can give us positives, but we are not getting ahead of ourselves and we can't feel good about what happened at Arsenal," he told reporters.
"In some stretches we were good, but we need to do that consistently. The two goals were poor and we gave away a lot of bad passes.
"But, based on our training and some of the things that happened, it shows to me we are capable of becoming a good team. How long it takes, I don't know, because it's a never-ending process.
"At some point you will feel you have turned a corner but that hasn't happened yet."