The former Peterborough boss was unveiled at The County Ground on Tuesday after signing a two-year deal having spent five weeks as caretaker of the Sky Bet League One side.
"From the first moment I was put in temporary charge I had one eye on the job and I always thought I could get it," he said.
"When we played some of the football we have - against Stevenage, Torquay and Peterborough - you're thinking 'I may have a chance'.
"It was a trial period for myself, I would have been a long shot from the outset but obviously I've done something right and impressed the people at Swindon enough for them to offer me the job.
"I've been there before, done it in the Championship and I'm looking forward to doing it in League One with Swindon Town and hopefully being part of the furniture for a while to come."