Di Canio was the focus of attention after last week saying his position was untenable because of off-the-field issues at the County Ground. However, he told reporters he did not want to talk about the speculation over his future as Robins boss after seeing James Collins secure victory.
Di Canio said: "This was all about the players. They have been Champions League and this was not about Paolo Di Canio. I appreciate you have come a long way to watch but I do not want to talk about Paolo Di Canio."
Collins revealed Di Canio was pleased with their performance in extending their unbeaten run to 10 matches. He said: "The manager has congratulated us on the way we played and we will travel back happy.
"The gaffer has told us he's pleased with the way we're doing things as a team and that's what we're concentrating on.
"The mood is great in the dressing room and we're a close unit and we're sticking by each other. We're all committed and we're not going to get distracted by some off-the-field issues.
"We only see what we read in the papers on off-the-field stuff and we're just concentrating on what we're doing on the pitch. The top two is in our sights and it's definitely in our grasp this season."
Colchester manager Joe Dunne said: "I don't agree that it was the right result. When they got the goal we had to go for it and the game became a lot more open. It was a scrappy game but I thought we were well in it and I thought that we matched them.
"We had chances to score and we forced corners so I think overall we're disappointed we didn't come away from the game with at least a draw. Swindon's goal came against the run of play and we had a corner kick that got cleared and we switched off for a moment from a throw in.
"That cost us because we need everybody concentrating and unfortunately at that moment we didn't and they scored. Once they went ahead they made it very difficult for us and we couldn't break them down. We threw a couple of forwards on and went for it but I thought we did well."