The Saddlers opened the new campaign with a 3-1 triumph against Tranmere and, having seen off Port Vale in the Capital One Cup,edged past Oldham 1-0 at Boundary Park at the weekend.
It was O'Donnell's first competitive clean sheet since his summer switch to the midlands club and despite being delighted with the start made over the first three matches, the 24-year-old insists there is plenty of room for improvement.
"There were a lot of positives to come out of Saturday's game," he told Walsall's official website. "The back four in particular were different class.
"As a group we know we have things to work on, but we are certainly moving in the right direction.
"We have a good understanding already and that has shown in our first three games, but we will only get better the more we play alongside each other.
"As a keeper it's all about getting clean sheets and I am delighted to get the first under my belt and help us secure three points.
"It's been a good start; the important thing is that we don't get too carried away. We have a level-headed group of lads here who will keep working hard to get our rewards.
"We know what we're capable of here and if people want to put us under the radar, that is fine with us. We'll keep trying to do the right things and see where it takes us."
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- Port Vale