Dexter Blackstock and Billy Sharp came up with the goals as Forest bounced back from two straight defeats, but it was Reid's performance which caught the manager's eye.
O'Driscoll said: "Andy has been terrific for us all season and he's obviously had a big part to play in both goals.
"In the position he plays he is difficult to pin down. He doesn't play wide or in central midfield and he makes life difficult for anyone trying to pick him up.
"Defenders don't want to go out and mark him and leave space behind and he's been causing those kind of problems for a long time."
Forest went into the game on the back of defeats to Ipswich and Hull, but Blackstock, with his first home goal in more than seven months, put them in front after 59 minutes as he headed home Reid's deep cross.
Billy Sharp then took advantage of more good work from Reid to get a second 14 minutes from time.
"It was crucial for us to get the first goal because games in the Championship are so tight but we needed that breakthrough after losing our last two games," O'Driscoll said.
"It settled us down, we were able to relax a little bit and never looked in any danger of from then on in.
"I've watched Burnley recently and they are an accomplished side who play with a lot of composure. With Charlie Austin in the side and two good wide men they are always going to pose problems."